{"id":271,"date":"2023-06-08T14:05:47","date_gmt":"2023-06-08T14:05:47","guid":{"rendered":"https:\/\/ilm.com.pk\/online-test\/?p=271"},"modified":"2023-06-08T08:57:03","modified_gmt":"2023-06-08T08:57:03","slug":"1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers","status":"publish","type":"post","link":"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/","title":{"rendered":"1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers"},"content":{"rendered":"<p style=\"text-align: justify;\">This place is to get the 1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers. A matrix is a rectangular array of numbers enclosed by a pair of brackets. This chapter includes some important concepts that you can prepare for the entry test. Here we have provided important MCQs that will help you build the concepts. The topics include types of matrices, determinants of 2 x 2 matrix, solution of simultaneous linear equations, properties of the matrix, properties of determinants, and adjoint and inverse of a square matrix.<\/p><div class=\"5bc94b3a8c7bee3878b52509da24d9d4\" data-index=\"1\" style=\"float: none; margin:10px 0 10px 0; text-align:center;\">\n<script async src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-3589939600420022\"\r\n     crossorigin=\"anonymous\"><\/script>\r\n<!-- Testing -->\r\n<ins class=\"adsbygoogle\"\r\n     style=\"display:block\"\r\n     data-ad-client=\"ca-pub-3589939600420022\"\r\n     data-ad-slot=\"1050719294\"\r\n     data-ad-format=\"auto\"\r\n     data-full-width-responsive=\"true\"><\/ins>\r\n<script>\r\n     (adsbygoogle = window.adsbygoogle || []).push({});\r\n<\/script>\n<\/div>\n\n<h2 style=\"text-align: center;\">1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers<\/h2>\n<div class='ays-quiz-wrap'>\n            <div class='ays-quiz-container ays_quiz_elegant_light  '\n                 data-quest-effect='shake' \n                 data-hide-bg-image='false'\n                 id='ays-quiz-container-61'>\n                <div class='ays-live-bar-wrap '><div class='ays-live-bar-fill ' style='width: 0%;'><span><span class='ays-live-bar-percent'>0<\/span>%<\/span><\/div><\/div>\n                \n                <div class='ays-questions-container'>\n                    <div class='ays-quiz-some-items-icons-wrap'><\/div>\n                    <span class='ays_quizn_ancnoxneri_qanak'><i class='ays_fa ays_fa_users'><\/i> 1237<\/span>\n                    <div id='ays-quiz-questions-nav-wrap-61' class='ays-quiz-questions-nav-wrap'><div class='ays-quiz-questions-nav-go-left'>\n                    <i class='ays_fa ays_fa_angle_left'><\/i>\n                <\/div><div class='ays-quiz-questions-nav-go-right'>\n                    <i class='ays_fa ays_fa_angle_right'><\/i>\n                <\/div><div class='ays-quiz-questions-nav-content'><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1290' class='ays_questions_nav_question'>1<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1276' class='ays_questions_nav_question'>2<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1273' class='ays_questions_nav_question'>3<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1287' class='ays_questions_nav_question'>4<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1286' class='ays_questions_nav_question'>5<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1281' class='ays_questions_nav_question'>6<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1284' class='ays_questions_nav_question'>7<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1274' class='ays_questions_nav_question'>8<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1285' class='ays_questions_nav_question'>9<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1288' class='ays_questions_nav_question'>10<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1275' class='ays_questions_nav_question'>11<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1279' class='ays_questions_nav_question'>12<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1280' class='ays_questions_nav_question'>13<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1271' class='ays_questions_nav_question'>14<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1289' class='ays_questions_nav_question'>15<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1282' class='ays_questions_nav_question'>16<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1277' class='ays_questions_nav_question'>17<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1278' class='ays_questions_nav_question'>18<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1272' class='ays_questions_nav_question'>19<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='1283' class='ays_questions_nav_question'>20<\/a><\/div><\/div><\/div>\n                    <form \n                        action='' \n                        method='post' \n                        autocomplete='off'\n                        id='ays_finish_quiz_61' \n                        class=' enable_questions_result '\n                    >\n            <input type='hidden' value='list' class='answer_view_class'>\n            <input type='hidden' value='' class='ays_qm_enable_arrows'><section  style='display:none;'  class='ays_quiz_timer_container'>\n                <div class='ays-quiz-timer ' data-timer='100'><\/div>\n                <div class='ays-quiz-after-timer  empty_after_timer_text '><\/div>\n                <hr style='height:1px;'>\n            <\/section>\n            \n            <div class='step active-step'>\n                <div class='ays-abs-fs ays-start-page'>\n                    \n                    \n                    <p class='ays-fs-title'>Math Chapter 3<\/p>\n                    \n                    <input type='hidden' name='ays_quiz_id' value='61'\/>\n                    <input type='hidden' name='ays_quiz_questions' value='1290,1289,1288,1287,1286,1285,1284,1283,1282,1281,1280,1279,1278,1277,1276,1275,1274,1273,1272,1271'>\n                    \n                    <div class='ays_buttons_div'>\n                        <input type='button'   name='next' class='ays_next start_button action-button' value='Start' data-enable-leave-page=\"false\" \/>\n                    <\/div>\n                    \n                    \n                <\/div>\n            <\/div><div class='step  '\n                        data-question-id='1290'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>1 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>1. If A is any square matrix then A-( A* )<sup>t<\/sup> is a<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1290]' id='ays-answer-4954-61' value='4954'\/>\n\n                    <label for='ays-answer-4954-61' class='  ays_position_initial '>\n                        A) skew hermitian\n                    <\/label>\n                    <label for='ays-answer-4954-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1290]' id='ays-answer-4951-61' value='4951'\/>\n\n                    <label for='ays-answer-4951-61' class='  ays_position_initial '>\n                        B) Symmetric\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4951-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1290]' id='ays-answer-4952-61' value='4952'\/>\n\n                    <label for='ays-answer-4952-61' class='  ays_position_initial '>\n                        C) skew symmetric\n                    <\/label>\n                    <label for='ays-answer-4952-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1290]' id='ays-answer-4953-61' value='4953'\/>\n\n                    <label for='ays-answer-4953-61' class='  ays_position_initial '>\n                        D) Hermitian\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4953-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1276'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>2 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>2. Any matrix A is called real if all a<sub>ii<\/sub> are<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1276]' id='ays-answer-4897-61' value='4897'\/>\n\n                    <label for='ays-answer-4897-61' class='  ays_position_initial '>\n                        A) 0\n                    <\/label>\n                    <label for='ays-answer-4897-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1276]' id='ays-answer-4898-61' value='4898'\/>\n\n                    <label for='ays-answer-4898-61' class='  ays_position_initial '>\n                        B) 1\u00a0\n                    <\/label>\n                    <label for='ays-answer-4898-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1276]' id='ays-answer-4896-61' value='4896'\/>\n\n                    <label for='ays-answer-4896-61' class='  ays_position_initial '>\n                        C) Imaginary numbers\n                    <\/label>\n                    <label for='ays-answer-4896-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1276]' id='ays-answer-4895-61' value='4895'\/>\n\n                    <label for='ays-answer-4895-61' class='  ays_position_initial '>\n                        D) real numbers\n                    <\/label>\n                    <label for='ays-answer-4895-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1273'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>3 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>3. The vertical line of numbers in a matrix is called<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1273]' id='ays-answer-4884-61' value='4884'\/>\n\n                    <label for='ays-answer-4884-61' class='  ays_position_initial '>\n                        A) columns\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4884-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1273]' id='ays-answer-4885-61' value='4885'\/>\n\n                    <label for='ays-answer-4885-61' class='  ays_position_initial '>\n                        B) column matrix\n                    <\/label>\n                    <label for='ays-answer-4885-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1273]' id='ays-answer-4883-61' value='4883'\/>\n\n                    <label for='ays-answer-4883-61' class='  ays_position_initial '>\n                        C) Rows\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4883-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1273]' id='ays-answer-4886-61' value='4886'\/>\n\n                    <label for='ays-answer-4886-61' class='  ays_position_initial '>\n                        D) Row matrix\n                    <\/label>\n                    <label for='ays-answer-4886-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1287'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>4 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>4. If A is a matrix of order m x n and B of order n x q, then the order of AB is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1287]' id='ays-answer-4940-61' value='4940'\/>\n\n                    <label for='ays-answer-4940-61' class='  ays_position_initial '>\n                        A) n x n\n                    <\/label>\n                    <label for='ays-answer-4940-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1287]' id='ays-answer-4939-61' value='4939'\/>\n\n                    <label for='ays-answer-4939-61' class='  ays_position_initial '>\n                        B) m x q\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4939-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1287]' id='ays-answer-4942-61' value='4942'\/>\n\n                    <label for='ays-answer-4942-61' class='  ays_position_initial '>\n                        C) q x m\n                    <\/label>\n                    <label for='ays-answer-4942-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1287]' id='ays-answer-4941-61' value='4941'\/>\n\n                    <label for='ays-answer-4941-61' class='  ays_position_initial '>\n                        D) \u00a0 m x m\u00a0\n                    <\/label>\n                    <label for='ays-answer-4941-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1286'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>5 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>5. Two matrices A and B are conformable for multiplication AB if<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1286]' id='ays-answer-4936-61' value='4936'\/>\n\n                    <label for='ays-answer-4936-61' class='  ays_position_initial '>\n                        A) number of rows in B = number of columns in A\n                    <\/label>\n                    <label for='ays-answer-4936-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1286]' id='ays-answer-4938-61' value='4938'\/>\n\n                    <label for='ays-answer-4938-61' class='  ays_position_initial '>\n                        B) number of columns in A= number of columns in B\n                    <\/label>\n                    <label for='ays-answer-4938-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1286]' id='ays-answer-4935-61' value='4935'\/>\n\n                    <label for='ays-answer-4935-61' class='  ays_position_initial '>\n                        C) number of columns in A= number of rows in B\n                    <\/label>\n                    <label for='ays-answer-4935-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1286]' id='ays-answer-4937-61' value='4937'\/>\n\n                    <label for='ays-answer-4937-61' class='  ays_position_initial '>\n                        D) number 6f rows in A= number of rows in B\n                    <\/label>\n                    <label for='ays-answer-4937-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1281'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>6 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>6. Any matrix of order m x 1 is called<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1281]' id='ays-answer-4916-61' value='4916'\/>\n\n                    <label for='ays-answer-4916-61' class='  ays_position_initial '>\n                        A) column matrix\n                    <\/label>\n                    <label for='ays-answer-4916-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1281]' id='ays-answer-4917-61' value='4917'\/>\n\n                    <label for='ays-answer-4917-61' class='  ays_position_initial '>\n                        B) Square matrix\n                    <\/label>\n                    <label for='ays-answer-4917-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1281]' id='ays-answer-4915-61' value='4915'\/>\n\n                    <label for='ays-answer-4915-61' class='  ays_position_initial '>\n                        C) row matrix\n                    <\/label>\n                    <label for='ays-answer-4915-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1281]' id='ays-answer-4918-61' value='4918'\/>\n\n                    <label for='ays-answer-4918-61' class='  ays_position_initial '>\n                        D) Rectangular matrix\n                    <\/label>\n                    <label for='ays-answer-4918-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1284'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>7 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>7. (k AB)<sup>t<\/sup> =<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1284]' id='ays-answer-4930-61' value='4930'\/>\n\n                    <label for='ays-answer-4930-61' class='  ays_position_initial '>\n                        A) kt (AB)\n                    <\/label>\n                    <label for='ays-answer-4930-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1284]' id='ays-answer-4927-61' value='4927'\/>\n\n                    <label for='ays-answer-4927-61' class='  ays_position_initial '>\n                        B) k At Bt\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4927-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1284]' id='ays-answer-4929-61' value='4929'\/>\n\n                    <label for='ays-answer-4929-61' class='  ays_position_initial '>\n                        C) k(BA)t\u00a0\n                    <\/label>\n                    <label for='ays-answer-4929-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1284]' id='ays-answer-4928-61' value='4928'\/>\n\n                    <label for='ays-answer-4928-61' class='  ays_position_initial '>\n                        D) k Bt At\n                    <\/label>\n                    <label for='ays-answer-4928-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1274'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>8 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>8. If a matrix A has m rows and n column, then the order of A is<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1274]' id='ays-answer-4887-61' value='4887'\/>\n\n                    <label for='ays-answer-4887-61' class='  ays_position_initial '>\n                        A) mxn\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4887-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1274]' id='ays-answer-4888-61' value='4888'\/>\n\n                    <label for='ays-answer-4888-61' class='  ays_position_initial '>\n                        B) nxm\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4888-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1274]' id='ays-answer-4890-61' value='4890'\/>\n\n                    <label for='ays-answer-4890-61' class='  ays_position_initial '>\n                        C) m^n\n                    <\/label>\n                    <label for='ays-answer-4890-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1274]' id='ays-answer-4889-61' value='4889'\/>\n\n                    <label for='ays-answer-4889-61' class='  ays_position_initial '>\n                        D) m + n\n                    <\/label>\n                    <label for='ays-answer-4889-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1285'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>9 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>9. Let A be any matrix and n is an Integer, then A+ A+ A+\u2026+to n terms<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1285]' id='ays-answer-4934-61' value='4934'\/>\n\n                    <label for='ays-answer-4934-61' class='  ays_position_initial '>\n                        A) (n +1) A\n                    <\/label>\n                    <label for='ays-answer-4934-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1285]' id='ays-answer-4932-61' value='4932'\/>\n\n                    <label for='ays-answer-4932-61' class='  ays_position_initial '>\n                        B) nA\n                    <\/label>\n                    <label for='ays-answer-4932-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1285]' id='ays-answer-4933-61' value='4933'\/>\n\n                    <label for='ays-answer-4933-61' class='  ays_position_initial '>\n                        C) A^n-1\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4933-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1285]' id='ays-answer-4931-61' value='4931'\/>\n\n                    <label for='ays-answer-4931-61' class='  ays_position_initial '>\n                        D) A\u00ad^n\n                    <\/label>\n                    <label for='ays-answer-4931-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1288'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>10 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>10. If A is any square matrix then A +A<sup>t<\/sup> is a<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1288]' id='ays-answer-4945-61' value='4945'\/>\n\n                    <label for='ays-answer-4945-61' class='  ays_position_initial '>\n                        A) Hermitian\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4945-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1288]' id='ays-answer-4944-61' value='4944'\/>\n\n                    <label for='ays-answer-4944-61' class='  ays_position_initial '>\n                        B) skew-symmetric\n                    <\/label>\n                    <label for='ays-answer-4944-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1288]' id='ays-answer-4943-61' value='4943'\/>\n\n                    <label for='ays-answer-4943-61' class='  ays_position_initial '>\n                        C) Symmetric\n                    <\/label>\n                    <label for='ays-answer-4943-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1288]' id='ays-answer-4946-61' value='4946'\/>\n\n                    <label for='ays-answer-4946-61' class='  ays_position_initial '>\n                        D) skew hermitian\n                    <\/label>\n                    <label for='ays-answer-4946-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1275'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>11 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>11. The element a<sub>ij<\/sub> of any matrix A is present in<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1275]' id='ays-answer-4893-61' value='4893'\/>\n\n                    <label for='ays-answer-4893-61' class='  ays_position_initial '>\n                        A) (i +j)th row and column\u00a0\n                    <\/label>\n                    <label for='ays-answer-4893-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1275]' id='ays-answer-4894-61' value='4894'\/>\n\n                    <label for='ays-answer-4894-61' class='  ays_position_initial '>\n                        B) (i - j)th row and column\n                    <\/label>\n                    <label for='ays-answer-4894-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1275]' id='ays-answer-4891-61' value='4891'\/>\n\n                    <label for='ays-answer-4891-61' class='  ays_position_initial '>\n                        C) i row and j column\n                    <\/label>\n                    <label for='ays-answer-4891-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1275]' id='ays-answer-4892-61' value='4892'\/>\n\n                    <label for='ays-answer-4892-61' class='  ays_position_initial '>\n                        D) i column and j row\n                    <\/label>\n                    <label for='ays-answer-4892-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1279'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>12 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>12. If a matrix A has the same numbers of rows and columns, then A is called<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1279]' id='ays-answer-4910-61' value='4910'\/>\n\n                    <label for='ays-answer-4910-61' class='  ays_position_initial '>\n                        A) Rectangular matrix\n                    <\/label>\n                    <label for='ays-answer-4910-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1279]' id='ays-answer-4909-61' value='4909'\/>\n\n                    <label for='ays-answer-4909-61' class='  ays_position_initial '>\n                        B) Square matrix\n                    <\/label>\n                    <label for='ays-answer-4909-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1279]' id='ays-answer-4908-61' value='4908'\/>\n\n                    <label for='ays-answer-4908-61' class='  ays_position_initial '>\n                        C) column matrix\n                    <\/label>\n                    <label for='ays-answer-4908-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1279]' id='ays-answer-4907-61' value='4907'\/>\n\n                    <label for='ays-answer-4907-61' class='  ays_position_initial '>\n                        D) row matrix\n                    <\/label>\n                    <label for='ays-answer-4907-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1280'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>13 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>13. If any matrix A has different numbers of rows and columns then A is<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1280]' id='ays-answer-4914-61' value='4914'\/>\n\n                    <label for='ays-answer-4914-61' class='  ays_position_initial '>\n                        A) Rectangular matrix\n                    <\/label>\n                    <label for='ays-answer-4914-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1280]' id='ays-answer-4911-61' value='4911'\/>\n\n                    <label for='ays-answer-4911-61' class='  ays_position_initial '>\n                        B) row matrix\n                    <\/label>\n                    <label for='ays-answer-4911-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1280]' id='ays-answer-4913-61' value='4913'\/>\n\n                    <label for='ays-answer-4913-61' class='  ays_position_initial '>\n                        C) Square matrix\n                    <\/label>\n                    <label for='ays-answer-4913-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1280]' id='ays-answer-4912-61' value='4912'\/>\n\n                    <label for='ays-answer-4912-61' class='  ays_position_initial '>\n                        D) column matrix\n                    <\/label>\n                    <label for='ays-answer-4912-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1271'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>14 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>14. A rectangular array of numbers enclosed by a pair of brackets is called a<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1271]' id='ays-answer-4876-61' value='4876'\/>\n\n                    <label for='ays-answer-4876-61' class='  ays_position_initial '>\n                        A) Row\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4876-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1271]' id='ays-answer-4877-61' value='4877'\/>\n\n                    <label for='ays-answer-4877-61' class='  ays_position_initial '>\n                        B) column\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4877-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1271]' id='ays-answer-4878-61' value='4878'\/>\n\n                    <label for='ays-answer-4878-61' class='  ays_position_initial '>\n                        C) determinant\n                    <\/label>\n                    <label for='ays-answer-4878-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1271]' id='ays-answer-4875-61' value='4875'\/>\n\n                    <label for='ays-answer-4875-61' class='  ays_position_initial '>\n                        D) matrix\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4875-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1289'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>15 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>15. If\u00a0 A is any square matrix then A \u2013 A<sup>t<\/sup> is a<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1289]' id='ays-answer-4950-61' value='4950'\/>\n\n                    <label for='ays-answer-4950-61' class='  ays_position_initial '>\n                        A) skew hermitian\n                    <\/label>\n                    <label for='ays-answer-4950-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1289]' id='ays-answer-4947-61' value='4947'\/>\n\n                    <label for='ays-answer-4947-61' class='  ays_position_initial '>\n                        B) Symmetric\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4947-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1289]' id='ays-answer-4948-61' value='4948'\/>\n\n                    <label for='ays-answer-4948-61' class='  ays_position_initial '>\n                        C) skew-symmetric\n                    <\/label>\n                    <label for='ays-answer-4948-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1289]' id='ays-answer-4949-61' value='4949'\/>\n\n                    <label for='ays-answer-4949-61' class='  ays_position_initial '>\n                        D) Hermitian\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4949-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1282'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>16 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>16. For any two matrices A and B. (A+ B)' is equal to<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1282]' id='ays-answer-4922-61' value='4922'\/>\n\n                    <label for='ays-answer-4922-61' class='  ays_position_initial '>\n                        A) B^t A^t\n                    <\/label>\n                    <label for='ays-answer-4922-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1282]' id='ays-answer-4920-61' value='4920'\/>\n\n                    <label for='ays-answer-4920-61' class='  ays_position_initial '>\n                        B) (A+B)^t\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4920-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1282]' id='ays-answer-4919-61' value='4919'\/>\n\n                    <label for='ays-answer-4919-61' class='  ays_position_initial '>\n                        C) A^t+ B^t\u00a0\n                    <\/label>\n                    <label for='ays-answer-4919-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1282]' id='ays-answer-4921-61' value='4921'\/>\n\n                    <label for='ays-answer-4921-61' class='  ays_position_initial '>\n                        D) A^t B^t \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4921-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1277'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>17 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>17. If any matrix A has only one row, then it is called<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1277]' id='ays-answer-4900-61' value='4900'\/>\n\n                    <label for='ays-answer-4900-61' class='  ays_position_initial '>\n                        A) column matrix\n                    <\/label>\n                    <label for='ays-answer-4900-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1277]' id='ays-answer-4901-61' value='4901'\/>\n\n                    <label for='ays-answer-4901-61' class='  ays_position_initial '>\n                        B) Square matrix\n                    <\/label>\n                    <label for='ays-answer-4901-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1277]' id='ays-answer-4899-61' value='4899'\/>\n\n                    <label for='ays-answer-4899-61' class='  ays_position_initial '>\n                        C) row matrix\n                    <\/label>\n                    <label for='ays-answer-4899-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1277]' id='ays-answer-4902-61' value='4902'\/>\n\n                    <label for='ays-answer-4902-61' class='  ays_position_initial '>\n                        D) Rectangular matrix\n                    <\/label>\n                    <label for='ays-answer-4902-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1278'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>18 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p class=\"MsoNormal\">18. If any matrix A has only one column, then it is called<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1278]' id='ays-answer-4905-61' value='4905'\/>\n\n                    <label for='ays-answer-4905-61' class='  ays_position_initial '>\n                        A) Square matrix\n                    <\/label>\n                    <label for='ays-answer-4905-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1278]' id='ays-answer-4903-61' value='4903'\/>\n\n                    <label for='ays-answer-4903-61' class='  ays_position_initial '>\n                        B) row matrix\n                    <\/label>\n                    <label for='ays-answer-4903-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1278]' id='ays-answer-4904-61' value='4904'\/>\n\n                    <label for='ays-answer-4904-61' class='  ays_position_initial '>\n                        C) column matrix\n                    <\/label>\n                    <label for='ays-answer-4904-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1278]' id='ays-answer-4906-61' value='4906'\/>\n\n                    <label for='ays-answer-4906-61' class='  ays_position_initial '>\n                        D) Rectangular matrix\n                    <\/label>\n                    <label for='ays-answer-4906-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1272'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>19 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p class=\"MsoNormal\">19. The horizontal lines of numbers in a matrix are called<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1272]' id='ays-answer-4880-61' value='4880'\/>\n\n                    <label for='ays-answer-4880-61' class='  ays_position_initial '>\n                        A) column\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4880-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1272]' id='ays-answer-4879-61' value='4879'\/>\n\n                    <label for='ays-answer-4879-61' class='  ays_position_initial '>\n                        B) Rows\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4879-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1272]' id='ays-answer-4881-61' value='4881'\/>\n\n                    <label for='ays-answer-4881-61' class='  ays_position_initial '>\n                        C) column matrix\n                    <\/label>\n                    <label for='ays-answer-4881-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1272]' id='ays-answer-4882-61' value='4882'\/>\n\n                    <label for='ays-answer-4882-61' class='  ays_position_initial '>\n                        D) Row matrix\n                    <\/label>\n                    <label for='ays-answer-4882-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='1283'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>20 \/ 20<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>20. (AB)<sup>t<\/sup> is equal to<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1283]' id='ays-answer-4926-61' value='4926'\/>\n\n                    <label for='ays-answer-4926-61' class='  ays_position_initial '>\n                        A) (B A)t\n                    <\/label>\n                    <label for='ays-answer-4926-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1283]' id='ays-answer-4924-61' value='4924'\/>\n\n                    <label for='ays-answer-4924-61' class='  ays_position_initial '>\n                        B) At Bt\n                    <\/label>\n                    <label for='ays-answer-4924-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1283]' id='ays-answer-4923-61' value='4923'\/>\n\n                    <label for='ays-answer-4923-61' class='  ays_position_initial '>\n                        C) Bt At\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4923-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-1283]' id='ays-answer-4925-61' value='4925'\/>\n\n                    <label for='ays-answer-4925-61' class='  ays_position_initial '>\n                        D) AB\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n                    <\/label>\n                    <label for='ays-answer-4925-61' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                            \n                            <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                            <input type='button' name='next' class='ays_previous action-button '  value='Prev' \/>\n                            <i class='ays_display_none ays_fa ays_fa_arrow_right ays_finish action-button ays_arrow ays_next_arrow'><\/i><input type='button' name='next' class='  ays_next action-button' value='Finish' \/>\n                        <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step'>\n                    <div class='ays-abs-fs ays-end-page information_form'>\n                    <div class='ays-form-title'><\/div>\n                        <input id='ays_form_field_ays_user_name_61' type='hidden' class='ays_quiz_form_input ays_animated_x5ms' name='ays_user_name' placeholder='Name' \/><input id='ays_form_field_ays_user_email_61' type='hidden' class='ays_quiz_form_input ays_animated_x5ms' name='ays_user_email' placeholder='Email' \/><input id='ays_form_field_ays_user_phone_61' type='hidden' class='ays_quiz_form_input ays_animated_x5ms' name='ays_user_phone' placeholder='Phone Number' \/>\n                        <div class='ays_buttons_div'>\n                            <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_finish action-button ays_arrow ays_next_arrow'><\/i>\n                            <input type='submit' name='ays_finish_quiz' class=' ays_next ays_finish action-button' value='See Result'\/>\n                        <\/div>\n                    <\/div>\n                  <\/div><div class='step ays_thank_you_fs'>\n            <div class='ays-abs-fs ays-end-page'>\n            <div style='text-align:center;'><div data-class='lds-ellipsis' data-role='loader' class='ays-loader'><div><\/div><div><\/div><div><\/div><div><\/div><\/div><\/div><div class='ays_quiz_results_page'><div class='ays_score_message'><\/div><div class='ays_message'><\/div><p class='ays_score ays_score_display_none animated'>Your score is <\/p><div class='ays-progress first'>\n                <span class='ays-progress-value first'>0%<\/span>\n                <div class='ays-progress-bg first'>\n                    <div class='ays-progress-bar first' style='width:0%;'><\/div>\n                <\/div>\n            <\/div><p class='ays_restart_button_p'><button type='button' class='action-button ays_restart_button'>\n                    <i class='ays_fa ays_fa_undo'><\/i>\n                    <span>Restart quiz<\/span>\n                <\/button><\/p><\/div><\/div><\/div><style> div#ays-quiz-container-61 * { box-sizing: border-box; } \/* Styles for Internet Explorer start *\/ #ays-quiz-container-61 #ays_finish_quiz_61 { } \/* Styles for Quiz container *\/ #ays-quiz-container-61{ min-height: 350px; width:100%; background-color:#f2f2f2; background-position:center center;border-radius:0px 0px 0px 0px;box-shadow: 0px 0px 15px 1px rgba(0,0,0,0.4);border-width: 1px;border-style: solid;border-color: #2fa0ca;} \/* Styles for Navigation bar *\/ #ays-quiz-questions-nav-wrap-61 { width: 100%;border-radius:0px 0px 0px 0px;box-shadow: 0px 0px 15px 1px rgba(0,0,0,0.4);border-width: 1px;border-style: solid;border-color: #2fa0ca;} #ays-quiz-questions-nav-wrap-61 .ays-quiz-questions-nav-content .ays-quiz-questions-nav-item a.ays_questions_nav_question { color: #000000; border-color: #000000; background-color: #f2f2f2; } #ays-quiz-questions-nav-wrap-61 .ays-quiz-questions-nav-content .ays-quiz-questions-nav-item.ays-quiz-questions-nav-item-active a.ays_questions_nav_question { box-shadow: inset 0 0 5px #000000, 0 0 5px #000000; } #ays-quiz-questions-nav-wrap-61 .ays-quiz-questions-nav-content .ays-quiz-questions-nav-item.ays-quiz-questions-nav-item-answered a.ays_questions_nav_question { color: #f2f2f2; border-color: #f2f2f2; background-color: #000000; } #ays-quiz-questions-nav-wrap-61 .ays-quiz-questions-nav-content .ays-quiz-questions-nav-item a.ays_questions_nav_question.ays_quiz_correct_answer { color: rgba(39, 174, 96, 1); border-color: rgba(39, 174, 96, 1); background-color: rgba(39, 174, 96, 0.4); } #ays-quiz-questions-nav-wrap-61 .ays-quiz-questions-nav-content .ays-quiz-questions-nav-item a.ays_questions_nav_question.ays_quiz_wrong_answer { color: rgba(243, 134, 129, 1); border-color: rgba(243, 134, 129, 1); background-color: rgba(243, 134, 129, 0.4); } \/* Styles for questions *\/ #ays-quiz-container-61 #ays_finish_quiz_61 div.step { min-height: 350px; } \/* Styles for text inside quiz container *\/ #ays-quiz-container-61.ays-quiz-container .ays-questions-container .ays-start-page *:not(input), #ays-quiz-container-61.ays-quiz-container .ays-questions-container .ays_question_hint, #ays-quiz-container-61.ays-quiz-container .ays-questions-container label[for^=\"ays-answer-\"], #ays-quiz-container-61.ays-quiz-container .ays-questions-container p, #ays-quiz-container-61.ays-quiz-container .ays-questions-container .ays-fs-title, #ays-quiz-container-61.ays-quiz-container .ays-questions-container .ays-fs-subtitle, #ays-quiz-container-61.ays-quiz-container .ays-questions-container .logged_in_message, #ays-quiz-container-61.ays-quiz-container .ays-questions-container .ays-quiz-limitation-count-of-takers, #ays-quiz-container-61.ays-quiz-container .ays-questions-container .ays-quiz-limitation-count-of-takers *, #ays-quiz-container-61.ays-quiz-container .ays-questions-container .ays_score_message, #ays-quiz-container-61.ays-quiz-container .ays-questions-container .ays_message{ color: #000000; outline: none; } \/* Quiz title \/ transformation *\/ #ays-quiz-container-61 .ays-fs-title{ text-transform: uppercase; text-align: center; text-shadow: none; } #ays-quiz-container-61 .ays-quiz-password-message-box, #ays-quiz-container-61 .ays-quiz-question-note-message-box, #ays-quiz-container-61 .ays_quiz_question, #ays-quiz-container-61 .ays_quiz_question *:not([class^='enlighter']) { color: #000000; } #ays-quiz-container-61 textarea, #ays-quiz-container-61 input::first-letter, #ays-quiz-container-61 select::first-letter, #ays-quiz-container-61 option::first-letter { color: initial !important; } #ays-quiz-container-61 p::first-letter:not(.ays_no_questions_message) { color: #000000 !important; background-color: transparent !important; font-size: inherit !important; font-weight: inherit !important; float: none !important; line-height: inherit !important; margin: 0 !important; padding: 0 !important; } #ays-quiz-container-61 .select2-container, #ays-quiz-container-61 .ays-field * { font-size: 16px !important; } #ays-quiz-container-61 .ays-fs-subtitle p { text-align: center ; } #ays-quiz-container-61 .ays_quiz_question p { font-size: 17px; text-align: center; } #ays-quiz-container-61 .ays_quiz_question { text-align: center ; margin-bottom: 10px; } #ays-quiz-container-61 .ays_quiz_question pre { max-width: 100%; white-space: break-spaces; } div#ays-quiz-container-61 .ays-questions-container .ays-field, div#ays-quiz-container-61 .ays-questions-container .ays-field input~label[for^='ays-answer-'], div#ays-quiz-container-61 .ays-questions-container .ays-modern-dark-question *, div#ays-quiz-container-61 .ays-questions-container .ays_quiz_question, div#ays-quiz-container-61 .ays-questions-container .ays_quiz_question *{ word-break: break-word; } #ays-quiz-container-61 .ays-quiz-timer p { font-size: 16px; } #ays-quiz-container-61 section.ays_quiz_redirection_timer_container hr, #ays-quiz-container-61 section.ays_quiz_timer_container hr { margin: 0; } #ays-quiz-container-61 section.ays_quiz_timer_container.ays_quiz_timer_red_warning .ays-quiz-timer { color: red; } #ays-quiz-container-61 .ays_thank_you_fs p { text-align: center; } #ays-quiz-container-61 .information_form input[type='text'], #ays-quiz-container-61 .information_form input[type='url'], #ays-quiz-container-61 .information_form input[type='number'], #ays-quiz-container-61 .information_form input[type='email'], #ays-quiz-container-61 .information_form input[type='tel'], #ays-quiz-container-61 .information_form textarea, #ays-quiz-container-61 .information_form select, #ays-quiz-container-61 .information_form option { color: initial !important; outline: none; margin-left: 0; background-image: unset; } #ays-quiz-container-61 .information_form input[type='checkbox'] { margin: 0 10px; outline: initial; -webkit-appearance: auto; -moz-appearance: auto; position: initial; width: initial; height: initial; border: initial; background: initial; } #ays-quiz-container-61 .information_form input[type='checkbox']::after { content: none; } #ays-quiz-container-61 .wrong_answer_text{ color:#ff4d4d; } #ays-quiz-container-61 .right_answer_text{ color:#33cc33; } #ays-quiz-container-61 .ays_cb_and_a, #ays-quiz-container-61 .ays_cb_and_a * { color: rgb(0,0,0); text-align: center; } #ays-quiz-container-61 iframe { \/*min-height: 350px;*\/ } #ays-quiz-container-61 label.ays_for_checkbox, #ays-quiz-container-61 span.ays_checkbox_for_span { color: initial !important; display: block; } \/* Quiz textarea height *\/ #ays-quiz-container-61 textarea { height: 100px; min-height: 100px; } \/* Quiz rate and passed users count *\/ #ays-quiz-container-61 .ays_quizn_ancnoxneri_qanak, #ays-quiz-container-61 .ays_quiz_rete_avg{ color:#f2f2f2; background-color:#000000; } #ays-quiz-container-61 .ays-questions-container > .ays_quizn_ancnoxneri_qanak { padding: 5px 20px; } #ays-quiz-container-61 div.for_quiz_rate.ui.star.rating .icon { color: rgba(0,0,0,0.35); } #ays-quiz-container-61 .ays_quiz_rete_avg div.for_quiz_rate_avg.ui.star.rating .icon { color: rgba(242,242,242,0.5); } #ays-quiz-container-61 .ays_quiz_rete .ays-quiz-rate-link-box .ays-quiz-rate-link { color: #000000; } \/* Loaders *\/ #ays-quiz-container-61 div.lds-spinner, #ays-quiz-container-61 div.lds-spinner2 { color: #000000; } #ays-quiz-container-61 div.lds-spinner div:after, #ays-quiz-container-61 div.lds-spinner2 div:after { background-color: #000000; } #ays-quiz-container-61 .lds-circle, #ays-quiz-container-61 .lds-facebook div, #ays-quiz-container-61 .lds-ellipsis div{ background: #000000; } #ays-quiz-container-61 .lds-ripple div{ border-color: #000000; } #ays-quiz-container-61 .lds-dual-ring::after, #ays-quiz-container-61 .lds-hourglass::after{ border-color: #000000 transparent #000000 transparent; } \/* Stars *\/ #ays-quiz-container-61 .ui.rating .icon, #ays-quiz-container-61 .ui.rating .icon:before { font-family: Rating !important; } \/* Progress bars *\/ #ays-quiz-container-61 #ays_finish_quiz_61 .ays-progress { border-color: rgba(0,0,0,0.8); } #ays-quiz-container-61 #ays_finish_quiz_61 .ays-progress-bg { background-color: rgba(0,0,0,0.3); } #ays-quiz-container-61 . { background-color: #2fa0ca; } #ays-quiz-container-61 . { background-color: #000000; } #ays-quiz-container-61 .ays-progress-value { color: #000000; text-align: center; } #ays-quiz-container-61 .ays-progress-bar { background-color: #2fa0ca; } #ays-quiz-container-61 .ays-question-counter .ays-live-bar-wrap { direction:ltr !important; } #ays-quiz-container-61 .ays-live-bar-fill{ color: #000000; border-bottom: 2px solid rgba(0,0,0,0.8); text-shadow: 0px 0px 5px #f2f2f2; } #ays-quiz-container-61 .ays-live-bar-fill.ays-live-fourth, #ays-quiz-container-61 .ays-live-bar-fill.ays-live-third, #ays-quiz-container-61 .ays-live-bar-fill.ays-live-second { text-shadow: unset; } #ays-quiz-container-61 .ays-live-bar-percent{ display:none; } \/* Music, Sound *\/ #ays-quiz-container-61 .ays_music_sound { color:rgb(0,0,0); } \/* Dropdown questions scroll bar *\/ #ays-quiz-container-61 blockquote { border-left-color: #000000 !important; } \/* Question hint *\/ #ays-quiz-container-61 .ays_question_hint_container .ays_question_hint_text { background-color:#f2f2f2; box-shadow: 0 0 15px 3px rgba(0,0,0,0.6); max-width: 270px; } #ays-quiz-container-61 .ays_question_hint_container .ays_question_hint_text p { max-width: unset; } #ays-quiz-container-61 .ays_questions_hint_max_width_class { max-width: 80%; } \/* Information form *\/ #ays-quiz-container-61 .ays-form-title{ color:rgb(0,0,0); } \/* Quiz timer *\/ #ays-quiz-container-61 div.ays-quiz-redirection-timer, #ays-quiz-container-61 div.ays-quiz-timer{ color: #000000; text-align: center; } #ays-quiz-container-61 div.ays-quiz-timer.ays-quiz-message-before-timer:before { font-weight: 500; } \/* Quiz buttons *\/ #ays-quiz-container-61 input#ays-submit, #ays-quiz-container-61 #ays_finish_quiz_61 .action-button, div#ays-quiz-container-61 #ays_finish_quiz_61 .action-button.ays_restart_button { background-color: #2fa0ca; color:#ffffff; font-size: 24px; padding: 13px 30px; border-radius: 3px; white-space: nowrap; letter-spacing: 0; box-shadow: unset; } #ays-quiz-container-61 input#ays-submit, #ays-quiz-container-61 #ays_finish_quiz_61 input.action-button { } #ays-quiz-container-61 #ays_finish_quiz_61 a[class~=ajax_add_to_cart]{ background-color: #f2f2f2; color:#ffffff; padding: 10px 5px; font-size: 14px; border-radius: 3px; white-space: nowrap; border: 1px solid #ffffff; } #ays-quiz-container-61 #ays_finish_quiz_61 .action-button.ays_check_answer { padding: 5px 10px; font-size: 24px !important; } #ays-quiz-container-61 #ays_finish_quiz_61 .action-button.ays_download_certificate { white-space: nowrap; padding: 5px 10px; } #ays-quiz-container-61 #ays_finish_quiz_61 .action-button.ays_arrow { color:#ffffff!important; white-space: nowrap; padding: 5px 10px; } #ays-quiz-container-61 input#ays-submit:hover, #ays-quiz-container-61 input#ays-submit:focus, #ays-quiz-container-61 #ays_finish_quiz_61 .action-button:hover, #ays-quiz-container-61 #ays_finish_quiz_61 .action-button:focus { box-shadow: 0 0 0 2px #ffffff; background-color: #2fa0ca; } #ays-quiz-container-61 .ays_restart_button { color: #ffffff; } #ays-quiz-container-61 .ays_buttons_div { justify-content: center; } #ays-quiz-container-61 .step:first-of-type .ays_buttons_div { justify-content: center !important; } #ays-quiz-container-61 input[type='button'], #ays-quiz-container-61 input[type='submit'] { color: #ffffff !important; outline: none; } #ays-quiz-container-61 #ays_finish_quiz_61 i.ays_early_finish.action-button[disabled]:hover, #ays-quiz-container-61 #ays_finish_quiz_61 i.ays_early_finish.action-button[disabled]:focus, #ays-quiz-container-61 #ays_finish_quiz_61 i.ays_early_finish.action-button[disabled], #ays-quiz-container-61 #ays_finish_quiz_61 i.ays_arrow.action-button[disabled]:hover, #ays-quiz-container-61 #ays_finish_quiz_61 i.ays_arrow.action-button[disabled]:focus, #ays-quiz-container-61 #ays_finish_quiz_61 i.ays_arrow.action-button[disabled] { color: #aaa !important; } #ays-quiz-container-61 .ays_finish.action-button{ margin: 10px 5px; } #ays-quiz-container-61 .ays-share-btn.ays-share-btn-branded { color: #fff; } \/* Question answers *\/ #ays-quiz-container-61 .ays-field { border-color: #000000; border-style: solid; border-width: 1px; box-shadow: none;flex-direction: row-reverse; } #ays-quiz-container-61 .ays-quiz-answers .ays-field:hover{ opacity: 1; } #ays-quiz-container-61 #ays_finish_quiz_61 .ays-field label.ays_answer_caption[for^='ays-answer-'] { z-index: 1; position:initial;bottom:0;} #ays-quiz-container-61 #ays_finish_quiz_61 .ays-field input~label[for^='ays-answer-'] { padding: 5px; } #ays-quiz-container-61 #ays_finish_quiz_61 .ays-field { margin-bottom: 10px; } #ays-quiz-container-61 #ays_finish_quiz_61 .ays-field.ays_grid_view_item { width: calc(50% - 5px); } #ays-quiz-container-61 #ays_finish_quiz_61 .ays-field.ays_grid_view_item:nth-child(odd) { margin-right: 5px; } #ays-quiz-container-61 #ays_finish_quiz_61 .ays-field input:checked+label:before { border-color: #2fa0ca; background: #2fa0ca; background-clip: content-box; } #ays-quiz-container-61 .ays-quiz-answers div.ays-text-right-answer { color: #000000; } \/* Answer maximum length of a text field *\/ #ays-quiz-container-61 .ays_quiz_question_text_message{ color: #000000; text-align: left; font-size: 12px; } div#ays-quiz-container-61 div.ays_quiz_question_text_error_message { color: #ff0000; } \/* Questions answer image *\/ #ays-quiz-container-61 .ays-answer-image { width:15em; height:150px; object-fit: cover; } \/* Questions answer right\/wrong icons *\/ #ays-quiz-container-61 .ays-field input~label.answered.correct:after{ content: url('https:\/\/ilm.com.pk\/online-test\/wp-content\/plugins\/quiz-maker\/public\/images\/correct-style-3.png'); } #ays-quiz-container-61 .ays-field input~label.answered.wrong:after{ content: url('https:\/\/ilm.com.pk\/online-test\/wp-content\/plugins\/quiz-maker\/public\/images\/wrong-style-3.png'); } #ays-quiz-container-61 .ays-field label.answered:last-of-type:after{ height: auto; left: 10px;top: 10px;} \/* Dropdown questions *\/ #ays-quiz-container-61 .select2-container--default .select2-search--dropdown .select2-search__field:focus, #ays-quiz-container-61 .select2-container--default .select2-search--dropdown .select2-search__field { outline: unset; padding: 0.75rem; } #ays-quiz-container-61 #ays_finish_quiz_61 .ays-field .select2-container--default .select2-selection--single { border-bottom: 2px solid #2fa0ca; background-color: #2fa0ca; } #ays-quiz-container-61 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered, #ays-quiz-container-61 .ays-field .select2-container--default .select2-selection--single .select2-selection__placeholder, #ays-quiz-container-61 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow { color: #d05f35; } #ays-quiz-container-61 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered, #ays-quiz-container-61 .select2-container--default .select2-results__option--highlighted[aria-selected] { background-color: #2fa0ca; } #ays-quiz-container-61 .ays-field .select2-container--default, #ays-quiz-container-61 .ays-field .select2-container--default .selection, #ays-quiz-container-61 .ays-field .select2-container--default .dropdown-wrapper, #ays-quiz-container-61 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered, #ays-quiz-container-61 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered .select2-selection__placeholder, #ays-quiz-container-61 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow, #ays-quiz-container-61 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow b[role='presentation'] { font-size: 16px !important; } #ays-quiz-container-61 .select2-container--default .select2-results__option { padding: 6px; } \/* Dropdown questions scroll bar *\/ #ays-quiz-container-61 .select2-results__options::-webkit-scrollbar { width: 7px; } #ays-quiz-container-61 .select2-results__options::-webkit-scrollbar-track { background-color: rgba(242,242,242,0.35); } #ays-quiz-container-61 .select2-results__options::-webkit-scrollbar-thumb { transition: .3s ease-in-out; background-color: rgba(242,242,242,0.55); } #ays-quiz-container-61 .select2-results__options::-webkit-scrollbar-thumb:hover { transition: .3s ease-in-out; background-color: rgba(242,242,242,0.85); } \/* WooCommerce product *\/ #ays-quiz-container-61 .ays-woo-block { background-color: rgba(47,160,202,0.8); } #ays-quiz-container-61 .ays-woo-product-block h4.ays-woo-product-title > a { color: #000000; } \/* Audio \/ Video *\/ #ays-quiz-container-61 .mejs-container .mejs-time{ box-sizing: unset; } #ays-quiz-container-61 .mejs-container .mejs-time-rail { padding-top: 15px; } #ays-quiz-container-61 .mejs-container .mejs-mediaelement video { margin: 0; } \/* Limitation *\/ #ays-quiz-container-61 .ays-quiz-limitation-count-of-takers { padding: 50px; } \/* Hestia theme (Version: 3.0.16) | Start *\/ #ays-quiz-container-61 .mejs-container .mejs-inner .mejs-controls .mejs-button > button:hover, #ays-quiz-container-61 .mejs-container .mejs-inner .mejs-controls .mejs-button > button { box-shadow: unset; background-color: transparent; } #ays-quiz-container-61 .mejs-container .mejs-inner .mejs-controls .mejs-button > button { margin: 10px 6px; } \/* Hestia theme (Version: 3.0.16) | End *\/ \/* Go theme (Version: 1.4.3) | Start *\/ #ays-quiz-container-61 label[for^='ays-answer']:before, #ays-quiz-container-61 label[for^='ays-answer']:before { -webkit-mask-image: unset; mask-image: unset; } #ays-quiz-container-61.ays_quiz_classic_light .ays-field input:checked+label.answered:before, #ays-quiz-container-61.ays_quiz_classic_dark .ays-field input:checked+label.answered:before { background-color: #2fa0ca !important; } #ays-quiz-container-61.ays_quiz_classic_light .ays-field input:checked+label.answered.correct:before, #ays-quiz-container-61.ays_quiz_classic_dark .ays-field input:checked+label.answered.correct:before { background-color: #27ae60 !important; } #ays-quiz-container-61.ays_quiz_classic_light .ays-field input:checked+label.answered.wrong:before, #ays-quiz-container-61.ays_quiz_classic_dark .ays-field input:checked+label.answered.wrong:before { background-color: #cc3700 !important; } \/* Go theme (Version: 1.4.3) | End *\/ #ays-quiz-container-61 .ays_quiz_results fieldset.ays_fieldset .ays_quiz_question .wp-video { width: 100% !important; max-width: 100%; } \/* Classic Dark \/ Classic Light *\/ \/* Dropdown questions right\/wrong styles *\/ #ays-quiz-container-61.ays_quiz_classic_dark .correct_div, #ays-quiz-container-61.ays_quiz_classic_light .correct_div{ border-color: green !important; opacity: 1 !important; background-color: rgba(39,174,96,0.4) !important; } #ays-quiz-container-61.ays_quiz_classic_dark .correct_div .selected-field, #ays-quiz-container-61.ays_quiz_classic_light .correct_div .selected-field { padding: 0px 10px 0px 10px; color: green !important; } #ays-quiz-container-61.ays_quiz_classic_dark .wrong_div, #ays-quiz-container-61.ays_quiz_classic_light .wrong_div{ border-color: red !important; opacity: 1 !important; background-color: rgba(243,134,129,0.4) !important; } #ays-quiz-container-61.ays_quiz_classic_dark .ays-field.checked_answer_div.wrong_div input:checked~label, #ays-quiz-container-61.ays_quiz_classic_light .ays-field.checked_answer_div.wrong_div input:checked~label { background-color: rgba(243,134,129,0.4) !important; } #ays-quiz-container-61 .ays_question_result .ays-field .ays_quiz_hide_correct_answer:after{ content: '' !important; } #ays-quiz-container-61 .ays-quiz-close-full-screen { fill: #000000; } #ays-quiz-container-61 .ays-quiz-open-full-screen { fill: #000000; } @media screen and (max-width: 768px){ #ays-quiz-container-61{ max-width: 100%; } div#ays-quiz-container-61.ays_quiz_modern_light .step, div#ays-quiz-container-61.ays_quiz_modern_dark .step { padding-right: 0px !important; padding-top: 0px !important; } div#ays-quiz-container-61.ays_quiz_modern_light div.step[data-question-id], div#ays-quiz-container-61.ays_quiz_modern_dark div.step[data-question-id] { background-size: cover !important; background-position: center center !important; } div#ays-quiz-container-61.ays_quiz_modern_light .ays-abs-fs:not(.ays-start-page):not(.ays-end-page), div#ays-quiz-container-61.ays_quiz_modern_dark .ays-abs-fs:not(.ays-start-page):not(.ays-end-page) { width: 100%; } #ays-quiz-container-61 .ays_quiz_question p { font-size: 17px; } #ays-quiz-container-61 .select2-container, #ays-quiz-container-61 .ays-field * { font-size: 16px !important; } div#ays-quiz-container-61 input#ays-submit, div#ays-quiz-container-61 #ays_finish_quiz_61 .action-button, div#ays-quiz-container-61 #ays_finish_quiz_61 .action-button.ays_restart_button { font-size: 21px; } div#ays-quiz-container-61 div.ays-questions-container div.ays-woo-block { width: 100%; } } \/* Custom css styles *\/ \/* RTL direction styles *\/ <\/style>\n            <style>\n                #ays-quiz-container-61 #ays_finish_quiz_61 div.step {                \n                    background-color: rgba(47,160,202,0.2);\n                    border: 1px solid rgba(47,160,202,0.8);\n                }\n                #ays-quiz-container-61 section.ays_quiz_timer_container.ays_quiz_timer_bg_container,\n                #ays-quiz-container-61 section.ays_quiz_redirection_timer_container {\n                    background-color: rgba(47,160,202,0.2);\n                    border: 1px solid rgba(47,160,202,0.8);\n                    border-bottom: unset;\n                }\n            <\/style><script>\n                if(typeof aysQuizOptions === 'undefined'){\n                    var aysQuizOptions = [];\n                }\n                aysQuizOptions['61']  = '{"quiz_version":"8.7.3","core_version":"6.0.1","php_version":"7.3.33","color":"#2fa0ca","bg_color":"#f2f2f2","text_color":"#000000","height":350,"width":0,"enable_logged_users":"off","information_form":"after","form_name":"off","form_email":"off","form_phone":"off","image_width":"","image_height":"","enable_correction":"off","enable_progress_bar":"on","enable_questions_result":"on","randomize_questions":"on","randomize_answers":"on","enable_questions_counter":"on","enable_restriction_pass":"off","enable_restriction_pass_users":"off","restriction_pass_message":"","restriction_pass_users_message":"","user_role":[],"ays_users_search":[],"custom_css":"","limit_users":"off","limitation_message":"","redirect_url":"","redirection_delay":0,"answers_view":"list","enable_rtl_direction":"off","enable_logged_users_message":"","questions_count":"","enable_question_bank":"off","enable_live_progress_bar":"on","enable_percent_view":"on","enable_average_statistical":"off","enable_next_button":"on","enable_previous_button":"on","enable_arrows":"off","timer_text":"","quiz_theme":"elegant_light","enable_social_buttons":"off","final_result_text":"","enable_pass_count":"on","hide_score":"off","rate_form_title":"","box_shadow_color":"#000000","quiz_border_radius":"0","quiz_bg_image":"","quiz_border_width":"1","quiz_border_style":"solid","quiz_border_color":"#2fa0ca","quiz_loader":"default","quest_animation":"shake","enable_bg_music":"off","quiz_bg_music":"","answers_font_size":"16","show_create_date":"off","show_author":"off","enable_early_finish":"off","answers_rw_texts":"on_passing","disable_store_data":"off","enable_background_gradient":"off","background_gradient_color_1":"#000","background_gradient_color_2":"#fff","quiz_gradient_direction":"vertical","redirect_after_submit":"off","submit_redirect_url":"","submit_redirect_delay":0,"progress_bar_style":"first","enable_exit_button":"off","exit_redirect_url":"","image_sizing":"cover","quiz_bg_image_position":"center center","custom_class":"","enable_social_links":"off","social_links":{"linkedin_link":"","facebook_link":"","twitter_link":"","vkontakte_link":""},"show_quiz_title":"on","show_quiz_desc":"off","show_login_form":"off","mobile_max_width":"","limit_users_by":"ip","explanation_time":"4","enable_clear_answer":"off","show_category":"off","show_question_category":"off","answers_padding":"5","answers_border":"on","answers_border_width":"1","answers_border_style":"solid","answers_border_color":"#000000","ans_img_height":"150","ans_img_caption_style":"outside","ans_img_caption_position":"bottom","answers_box_shadow":"off","answers_box_shadow_color":"#000","show_answers_caption":"on","answers_margin":10,"ans_right_wrong_icon":"style-3","display_score":"by_correctness","enable_rw_asnwers_sounds":"off","quiz_bg_img_in_finish_page":"off","finish_after_wrong_answer":"off","after_timer_text":"","enable_enter_key":"on","show_rate_after_rate":"on","buttons_text_color":"#ffffff","buttons_position":"center","buttons_size":"large","buttons_font_size":"24","buttons_width":"","buttons_left_right_padding":"30","buttons_top_bottom_padding":"13","buttons_border_radius":"3","enable_audio_autoplay":"off","enable_leave_page":"on","show_only_wrong_answer":"off","pass_score":0,"pass_score_message":"<h4 style=\"text-align: center;\">Congratulations!<\/h4>\r\n<p style=\"text-align: center;\">You passed the quiz!<\/p>","fail_score_message":"<h4 style=\"text-align: center;\">Oops!<\/h4>\r\n<p style=\"text-align: center;\">You have not passed the quiz!\r\nTry again!<\/p>","answers_object_fit":"cover","quiz_max_pass_count":1,"question_font_size":17,"quiz_width_by_percentage_px":"pixels","questions_hint_icon_or_text":"default","questions_hint_value":"","enable_early_finsh_comfirm_box":"on","hide_correct_answers":"off","quiz_loader_text_value":"","show_information_form":"on","show_questions_explanation":"on_results_page","enable_questions_ordering_by_cat":"off","enable_send_mail_to_user_by_pass_score":"off","enable_send_mail_to_admin_by_pass_score":"off","show_questions_numbering":"1.","show_answers_numbering":"A)","quiz_loader_custom_gif":"","disable_hover_effect":"off","quiz_loader_custom_gif_width":100,"quiz_title_transformation":"uppercase","quiz_image_width_by_percentage_px":"pixels","quiz_image_height":"","quiz_bg_img_on_start_page":"off","quiz_box_shadow_x_offset":0,"quiz_box_shadow_y_offset":0,"quiz_box_shadow_z_offset":15,"quiz_question_text_alignment":"center","quiz_arrow_type":"default","quiz_show_wrong_answers_first":"off","quiz_display_all_questions":"off","quiz_timer_red_warning":"off","quiz_schedule_timezone":"UTC+0","questions_hint_button_value":"","quiz_tackers_message":"This quiz is expired!","quiz_enable_linkedin_share_button":"on","quiz_enable_facebook_share_button":"on","quiz_enable_twitter_share_button":"on","quiz_enable_vkontakte_share_button":"on","quiz_make_responses_anonymous":"off","quiz_make_all_review_link":"off","quiz_message_before_timer":"","quiz_password_message":"","enable_see_result_confirm_box":"on","display_fields_labels":"off","quiz_enable_password_visibility":"off","question_mobile_font_size":17,"answers_mobile_font_size":16,"social_buttons_heading":"","social_links_heading":"","quiz_enable_question_category_description":"off","quiz_message_before_redirect_timer":"","buttons_mobile_font_size":21,"quiz_answer_box_shadow_x_offset":0,"quiz_answer_box_shadow_y_offset":0,"quiz_answer_box_shadow_z_offset":10,"quiz_enable_title_text_shadow":"off","quiz_title_text_shadow_color":"#333","question_count_per_page":null,"question_count_per_page_number":"5","mail_message":"","enable_certificate":"on","enable_certificate_without_send":"off","certificate_pass":"60","form_title":"","certificate_title":"<span style=\"font-size: 50px; font-weight: bold;\">Certificate of Completion<\/span>","certificate_body":"<span style=\"font-size: 25px;\"><i>This is to certify that<\/i><\/span>\r\n\r\n<span style=\"font-size: 30px;\"><b>%%user_name%%<\/b><\/span>\r\n\r\n<span style=\"font-size: 25px;\"><i>has completed the quiz<\/i><\/span>\r\n\r\n<span style=\"font-size: 30px;\">\"%%quiz_name%%\"<\/span>\r\n\r\n<span style=\"font-size: 20px;\">with a score of <b>%%score%%<\/b><\/span>\r\n\r\n<span style=\"font-size: 25px;\"><i>dated<\/i><\/span>\r\n<span style=\"font-size: 30px;\">%%current_date%%<\/span>","mailchimp_list":"","enable_mailchimp":"off","enable_double_opt_in":"off","active_date_check":"off","activeInterval":"2022-07-13 07:18:01","deactiveInterval":"2022-07-13 07:18:01","active_date_message":"The quiz has expired!","active_date_pre_start_message":"The quiz will be available soon!","checkbox_score_by":"on","calculate_score":"by_correctness","send_results_user":"on","send_interval_msg":"on","question_bank_type":"general","questions_bank_cat_count":{"62":""},"enable_tackers_count":"off","tackers_count":"","send_results_admin":"on","send_interval_msg_to_admin":"off","show_interval_message":"on","allow_collecting_logged_in_users_data":"off","quiz_pass_score":"0","send_certificate_to_admin":"off","certificate_image":"","certificate_frame":"vertical-2","certificate_orientation":"l","make_questions_required":"off","enable_password":"off","password_quiz":"","mail_message_admin":"","send_mail_to_site_admin":"on","generate_password":"general","generated_passwords":{"created_passwords":[],"active_passwords":[],"used_passwords":[]},"display_score_by":"by_percentage","show_schedule_timer":"off","show_timer_type":"countdown","progress_live_bar_style":"default","enable_full_screen_mode":"off","enable_navigation_bar":"on","hide_limit_attempts_notice":"off","turn_on_extra_security_check":"on","enable_top_keywords":"off","assign_keywords":[{"assign_top_keyword":"A","assign_top_keyword_text":""},{"assign_top_keyword":"B","assign_top_keyword_text":""},{"assign_top_keyword":"C","assign_top_keyword_text":""},{"assign_top_keyword":"D","assign_top_keyword_text":""}],"quiz_enable_coupon":"off","quiz_coupons_array":{"quiz_active_coupons":[],"quiz_inactive_coupons":[]},"apply_points_to_keywords":"off","limit_attempts_count_by_user_role":"","enable_autostart":"off","paypal_amount":null,"paypal_currency":null,"paypal_message":"","enable_stripe":"off","stripe_amount":"","stripe_currency":"","stripe_message":"You need to pay to pass this quiz.","payment_type":"prepay","enable_monitor":"off","monitor_list":"","active_camp_list":"","enable_slack":"off","slack_conversation":"","active_camp_automation":"","enable_active_camp":"off","enable_zapier":"off","enable_google_sheets":"off","spreadsheet_id":"","google_sheet_custom_fields":[],"quiz_attributes":null,"quiz_attributes_active_order":null,"quiz_attributes_passive_order":["ays_form_name","ays_form_email","ays_form_phone"],"required_fields":null,"enable_timer":"on","timer":100,"enable_quiz_rate":"off","enable_rate_avg":"off","enable_box_shadow":"on","enable_border":"on","quiz_timer_in_title":"off","enable_rate_comments":"off","enable_restart_button":"on","autofill_user_data":"off","enable_copy_protection":"off","enable_paypal":"off","ays_enable_restriction_pass":"off","ays_enable_restriction_pass_users":"off","user_mail":"on","result_text":null,"enable_result":"off","enable_mad_mimi":"off","mad_mimi_list":"","enable_convertKit":"off","convertKit_form_id":"","enable_getResponse":"off","getResponse_list":"","submit_redirect_after":"","rw_answers_sounds":false,"id":"61","author_id":"2","post_id":null,"title":"Math Chapter 3","description":"","quiz_image":"","quiz_category_id":"2","question_ids":"1290,1289,1288,1287,1286,1285,1284,1283,1282,1281,1280,1279,1278,1277,1276,1275,1274,1273,1272,1271","ordering":"61","published":"1","create_date":"2022-07-13 06:49:14","intervals":"[{\"interval_min\":\"0\",\"interval_max\":\"25\",\"interval_text\":\"\",\"interval_image\":\"\",\"interval_redirect_url\":\"\",\"interval_redirect_delay\":\"\",\"interval_wproduct\":\"\",\"interval_keyword\":\"A\"},{\"interval_min\":\"26\",\"interval_max\":\"50\",\"interval_text\":\"\",\"interval_image\":\"\",\"interval_redirect_url\":\"\",\"interval_redirect_delay\":\"\",\"interval_wproduct\":\"\",\"interval_keyword\":\"B\"},{\"interval_min\":\"51\",\"interval_max\":\"75\",\"interval_text\":\"\",\"interval_image\":\"\",\"interval_redirect_url\":\"\",\"interval_redirect_delay\":\"\",\"interval_wproduct\":\"\",\"interval_keyword\":\"C\"},{\"interval_min\":\"76\",\"interval_max\":\"100\",\"interval_text\":\"\",\"interval_image\":\"\",\"interval_redirect_url\":\"\",\"interval_redirect_delay\":\"\",\"interval_wproduct\":\"\",\"interval_keyword\":\"D\"}]","is_user_logged_in":false,"quiz_animation_top":100,"quiz_enable_animation_top":"on","store_all_not_finished_results":false}';\n        <\/script>\n                    <input type='hidden' name='quiz_id' value='61'\/>\n                    <input type='hidden' name='start_date' class='ays-start-date'\/>\n                    <input type='hidden' name='ays_finish_quiz_nonce_61' value='8cd112cde5'\/>\n                <\/form><\/div>\n                                <\/div>\n                            <\/div>\n<p style=\"text-align: justify;\">There are some topics including echelon and reduced echelon form, the system of linear equations, and Cramer&#8217;s rule that are very important. So, prepare well for the entry test. Check these 1st Year Mathematics MCQs with answers here. There is a quiz given below. Solve it and check the answers. Scroll down to check the MCQs.<\/p>\n\n<div style=\"font-size: 0px; height: 0px; line-height: 0px; margin: 0; padding: 0; clear: both;\"><\/div>","protected":false},"excerpt":{"rendered":"<p>This place is to get the 1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers. A matrix is a rectangular array of numbers enclosed by a pair of&hellip;<\/p>\n","protected":false},"author":2,"featured_media":272,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[8,9],"class_list":["post-271","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math","tag-ecat-mcqs","tag-entry-test-preparation","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>1st Year Math Chapter 3 Matrices and Determinants MCQs<\/title>\n<meta name=\"description\" content=\"Check out the 1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers here. Here you can get important MCQs with answers online\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"1st Year Math Chapter 3 Matrices and Determinants MCQs\" \/>\n<meta property=\"og:description\" content=\"Check out the 1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers here. Here you can get important MCQs with answers online\" \/>\n<meta property=\"og:url\" content=\"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/\" \/>\n<meta property=\"og:site_name\" content=\"Online Mcqs Test with answers\" \/>\n<meta property=\"article:published_time\" content=\"2023-06-08T14:05:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/ilm.com.pk\/online-test\/wp-content\/uploads\/2022\/07\/mths1st-Year-MCQs-3.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"300\" \/>\n\t<meta property=\"og:image:height\" content=\"300\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Muntazir mehndi\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Muntazir mehndi\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/\",\"url\":\"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/\",\"name\":\"1st Year Math Chapter 3 Matrices and Determinants MCQs\",\"isPartOf\":{\"@id\":\"https:\/\/ilm.com.pk\/online-test\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/ilm.com.pk\/online-test\/wp-content\/uploads\/2022\/07\/mths1st-Year-MCQs-3.jpg\",\"datePublished\":\"2023-06-08T14:05:47+00:00\",\"author\":{\"@id\":\"https:\/\/ilm.com.pk\/online-test\/#\/schema\/person\/5d3bafd1b8852722d49ed990f0916fbd\"},\"description\":\"Check out the 1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers here. Here you can get important MCQs with answers online\",\"breadcrumb\":{\"@id\":\"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/#primaryimage\",\"url\":\"https:\/\/ilm.com.pk\/online-test\/wp-content\/uploads\/2022\/07\/mths1st-Year-MCQs-3.jpg\",\"contentUrl\":\"https:\/\/ilm.com.pk\/online-test\/wp-content\/uploads\/2022\/07\/mths1st-Year-MCQs-3.jpg\",\"width\":300,\"height\":300,\"caption\":\"1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/ilm.com.pk\/online-test\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/ilm.com.pk\/online-test\/#website\",\"url\":\"https:\/\/ilm.com.pk\/online-test\/\",\"name\":\"Online Mcqs Test with answers\",\"description\":\"Prepare your Exams with online Test Preparation\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/ilm.com.pk\/online-test\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/ilm.com.pk\/online-test\/#\/schema\/person\/5d3bafd1b8852722d49ed990f0916fbd\",\"name\":\"Muntazir mehndi\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/ilm.com.pk\/online-test\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/d7bc3204d3a0e0cc0dbd082a6ca6508468f83b83ffe6c53ea60b6c0f654cd4a7?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/d7bc3204d3a0e0cc0dbd082a6ca6508468f83b83ffe6c53ea60b6c0f654cd4a7?s=96&d=mm&r=g\",\"caption\":\"Muntazir mehndi\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"1st Year Math Chapter 3 Matrices and Determinants MCQs","description":"Check out the 1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers here. Here you can get important MCQs with answers online","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/","og_locale":"en_US","og_type":"article","og_title":"1st Year Math Chapter 3 Matrices and Determinants MCQs","og_description":"Check out the 1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers here. Here you can get important MCQs with answers online","og_url":"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/","og_site_name":"Online Mcqs Test with answers","article_published_time":"2023-06-08T14:05:47+00:00","og_image":[{"width":300,"height":300,"url":"https:\/\/ilm.com.pk\/online-test\/wp-content\/uploads\/2022\/07\/mths1st-Year-MCQs-3.jpg","type":"image\/jpeg"}],"author":"Muntazir mehndi","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Muntazir mehndi","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/","url":"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/","name":"1st Year Math Chapter 3 Matrices and Determinants MCQs","isPartOf":{"@id":"https:\/\/ilm.com.pk\/online-test\/#website"},"primaryImageOfPage":{"@id":"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/#primaryimage"},"image":{"@id":"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/#primaryimage"},"thumbnailUrl":"https:\/\/ilm.com.pk\/online-test\/wp-content\/uploads\/2022\/07\/mths1st-Year-MCQs-3.jpg","datePublished":"2023-06-08T14:05:47+00:00","author":{"@id":"https:\/\/ilm.com.pk\/online-test\/#\/schema\/person\/5d3bafd1b8852722d49ed990f0916fbd"},"description":"Check out the 1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers here. Here you can get important MCQs with answers online","breadcrumb":{"@id":"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/#primaryimage","url":"https:\/\/ilm.com.pk\/online-test\/wp-content\/uploads\/2022\/07\/mths1st-Year-MCQs-3.jpg","contentUrl":"https:\/\/ilm.com.pk\/online-test\/wp-content\/uploads\/2022\/07\/mths1st-Year-MCQs-3.jpg","width":300,"height":300,"caption":"1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers"},{"@type":"BreadcrumbList","@id":"https:\/\/ilm.com.pk\/online-test\/1st-year-math-chapter-3-matrices-and-determinants-mcqs-with-answers\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/ilm.com.pk\/online-test\/"},{"@type":"ListItem","position":2,"name":"1st Year Math Chapter 3 Matrices and Determinants MCQs With Answers"}]},{"@type":"WebSite","@id":"https:\/\/ilm.com.pk\/online-test\/#website","url":"https:\/\/ilm.com.pk\/online-test\/","name":"Online Mcqs Test with answers","description":"Prepare your Exams with online Test Preparation","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/ilm.com.pk\/online-test\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/ilm.com.pk\/online-test\/#\/schema\/person\/5d3bafd1b8852722d49ed990f0916fbd","name":"Muntazir mehndi","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/ilm.com.pk\/online-test\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/d7bc3204d3a0e0cc0dbd082a6ca6508468f83b83ffe6c53ea60b6c0f654cd4a7?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d7bc3204d3a0e0cc0dbd082a6ca6508468f83b83ffe6c53ea60b6c0f654cd4a7?s=96&d=mm&r=g","caption":"Muntazir mehndi"}}]}},"_links":{"self":[{"href":"https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/posts\/271","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/comments?post=271"}],"version-history":[{"count":3,"href":"https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/posts\/271\/revisions"}],"predecessor-version":[{"id":815,"href":"https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/posts\/271\/revisions\/815"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/media\/272"}],"wp:attachment":[{"href":"https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/media?parent=271"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/categories?post=271"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/tags?post=271"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}