{"id":1878,"date":"2021-12-23T12:04:30","date_gmt":"2021-12-23T06:34:30","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=1878"},"modified":"2022-05-25T15:14:16","modified_gmt":"2022-05-25T09:44:16","slug":"study-materials-ncert-solutions-class-12-maths-chapter-4-determinants-exercise-4-5","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-4-determinants-exercise-4-5\/","title":{"rendered":"NCERT Solutions for Exercise 4.5 Class 12 Maths Determinants"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-4-determinants-exercise-4-5\/#Maths_NCERT_Solutions_Class_12_Chapter_4_Exercise_45\" title=\"Maths NCERT Solutions Class 12 Chapter 4 Exercise 4.5\">Maths NCERT Solutions Class 12 Chapter 4 Exercise 4.5<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-4-determinants-exercise-4-5\/#FAQ\" title=\"FAQ:\">FAQ:<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-4-determinants-exercise-4-5\/#What_is_the_topic_of_Class_12_Maths_Chapter_4_Exercise_45\" title=\"What is the topic of Class 12 Maths Chapter 4 Exercise 4.5?\">What is the topic of Class 12 Maths Chapter 4 Exercise 4.5?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-4-determinants-exercise-4-5\/#How_many_questions_are_in_the_NCERT_book_for_Class_12_Maths_Chapter_4_Exercise_45\" title=\" How many questions are in the NCERT book for Class 12 Maths Chapter 4 Exercise 4.5?\"> How many questions are in the NCERT book for Class 12 Maths Chapter 4 Exercise 4.5?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-4-determinants-exercise-4-5\/#Apart_from_practicing_for_Chapter_4_how_can_I_achieve_complete_marks_in_Class_12_Boards_Maths\" title=\"Apart from practicing for Chapter 4, how can I achieve complete marks in Class 12 Boards Maths?\">Apart from practicing for Chapter 4, how can I achieve complete marks in Class 12 Boards Maths?<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span data-contrast=\"none\">Chapter 4 Determinants NCERT Solutions for Class 12 Maths When it comes to comprehending the challenges in Exercise 4.5 in-depth, Exercise 4.5 is a precise yet practical answer. Subject matter experts have put them together to help you with your studies. The CBSE instructions for Exercise 4.5 Class 12 Maths Solution were used to create this solution. Exercise 4.5 Class 12 Maths NCERT Solutions are available as free PDF downloads from Infinity Learn to help you prepare for your exams.<\/span><\/p>\n\n\t\t<div class=\"download-pdf-container\">\n\t\t\t<span class=\"title\">Do you need help with your Homework? 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underline;\">terms and conditions<\/a> and <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/privacy\" style=\"text-decoration: underline;\">privacy policy<\/a>.<\/p>\n<p><input type=\"button\" style=\"cursor:pointer;width:auto;\" class=\"il_otp_submit\" value=\"Get OTP\" onclick=\"sendCF7OTP(this, otp_phone.value, user_name.value)\"><\/p>\n<div class=\"form-submit-btn-div\" style=\"display:none;\">\n<input type=\"submit\" value=\"Download PDF\" class=\"wpcf7-form-control has-spinner wpcf7-submit download-pdf-submit\" \/>\n<\/div>\n<\/div>\n<div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div><\/form><\/div>\n\t\t\t\t\t<span class=\"pdf-link hidden\" data-pdf=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/Exercise-4.5.pdf\"><\/span>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t<div class=\"bg-overlay\"><\/div>\n\t\t<\/div>\n\t\t<a href=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/Exercise-4.5.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-mobile-width=\"0\"  data-scrollbar=\"both\" data-download=\"off\" data-tracking=\"on\" data-newwindow=\"on\" data-pagetextbox=\"off\" data-scrolltotop=\"on\" data-startzoom=\"100\" data-startfpzoom=\"100\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">Exercise 4.5<br\/><\/a>\n<h2 aria-level=\"2\"><span class=\"ez-toc-section\" id=\"Maths_NCERT_Solutions_Class_12_Chapter_4_Exercise_45\"><\/span><span style=\"color: #000000; font-size: 14pt;\">Maths NCERT Solutions Class 12 Chapter 4 Exercise 4.5<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span data-contrast=\"none\">Class 12 is a critical year in your academic career. It determines which educational path you will take. Board exams for class 12 are really important for everyone. They follow you around wherever you go. Class 12 studies will also assist you in laying a firm conceptual basis for your graduation and post-graduate years. Preparing thoroughly for the Class 12 examinations will also help you succeed in other competitive tests.<\/span><\/p>\n<p><span data-contrast=\"none\">Adjoint and Inverse of a Matrix is covered in Class 12 Maths Chapter 4 Exercise 4.5. There are four key theorems in Class 12 Maths Exercise 4.5. Exercise 4.5 Maths Class 12 requires solid conceptual knowledge. This portion of the chapter&#8217;s <span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/\" target=\"_blank\" rel=\"noopener\">NCERT Solutions for Class 12 Maths<\/a><\/span> Chapter 4 offers a variety of questions. Class 12 Exercise 4.5 follows the CBSE test question structure to a large extent. The identical pattern can be found in Infinity Learn&#8217;s Class 12 Maths NCERT Solutions Chapter 4 Exercise 4.5. This will help you become more familiar with the various question types from Exercise 4.4 Class 12 Maths that may appear on your board exams. These are step-by-step solutions that have been designed to simplify any complex subjects into language that are easier to understand. They make it easier to grasp difficult concepts.<\/span><\/p>\n<p><span data-contrast=\"none\">Chapter 4 of Class 12 Maths contains a number of crucial themes and subtopics required for your board exam. The subjects and subtopics discussed in this chapter are listed below.<\/span><\/p>\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"Arial\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span style=\"color: #0000ff;\">Definition of Determinants <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"Arial\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span style=\"color: #0000ff;\">Applications of Determinants <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"Arial\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span style=\"color: #0000ff;\">Types of Determinants<\/span><\/li>\n<\/ul>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol style=\"list-style-type: lower-roman;\">\n<li><span data-contrast=\"none\">First Order Determinant<\/span><\/li>\n<li><span data-contrast=\"none\">Second-Order Determinant<\/span><\/li>\n<li><span data-contrast=\"none\">Third Order Determinant<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"Arial\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span style=\"color: #0000ff;\">Properties of Determinants<\/span><\/li>\n<\/ul>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol style=\"list-style-type: lower-roman;\">\n<li><span data-contrast=\"none\">Property 1: When the determinant&#8217;s columns and rows are swapped, the determinant&#8217;s value stays unaltered.<\/span><\/li>\n<li><span data-contrast=\"none\">Property 2: When any two columns or rows of a determinant are swapped, the sign of the determinant changes.<\/span><\/li>\n<li><span data-contrast=\"none\">Property 3: The determinant value is zero when two columns or rows of a determinant are equal and have the same associated elements.<\/span><\/li>\n<li><span data-contrast=\"none\">Property 4: When each element of a determinant&#8217;s column or row is multiplied by a constant K, the value is multiplied by constant K as well.<\/span><\/li>\n<li><span data-contrast=\"none\">Property 5: A determinant can be expressed as the sum of two or more determinants if some or all elements in a column or row are expressed as a sum of two or more terms.<\/span><\/li>\n<li><span data-contrast=\"none\">Property 6: When the equimultiples of the corresponding elements of other columns or rows are added to each element of any column or row of a determinant, the value of the determinant remains the same, i.e., the value of the determinant remains the same if the operation is applied.<\/span><\/li>\n<li><span data-contrast=\"none\">Property 7: If each column or row element is 0, the determinant&#8217;s value is zero.<\/span><\/li>\n<li><span data-contrast=\"none\">Property 8: If all the components on one side of the principal diagonal are zero, the determinant&#8217;s value equals the product of the elements on that side of the principal diagonal.<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"Arial\" data-listid=\"10\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span style=\"color: #0000ff;\">Area of a Triangle <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"Arial\" data-listid=\"10\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span style=\"color: #0000ff;\">Minors and Cofactors <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"Arial\" data-listid=\"10\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span style=\"color: #0000ff;\">Adjoint and Inverse of a Matrix<\/span><\/li>\n<\/ul>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol style=\"list-style-type: lower-roman;\">\n<li><span data-contrast=\"none\"><span style=\"color: #0000ff;\"><strong>Theorem 1:<\/strong><\/span> When A be any given Square Matrix of order n, then A(adj A)=(adj A)A= AI<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:1440,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\">       (<\/span><span data-contrast=\"none\">Singular and Non-Singular Matrix)<\/span><\/li>\n<li><span data-contrast=\"none\"><span style=\"color: #0000ff;\"><strong>Theorem 2:<\/strong><\/span> When A and B are non-singular matrices of the same order, then AB and BA are also non-singular matrices of the same order.<\/span><\/li>\n<li><span data-contrast=\"none\"><span style=\"color: #0000ff;\"><strong>Theorem 3:<\/strong><\/span> The determinant of the product of matrices is equal to the product of their respective determinants, that is, AB= |A| |B|, where A and B are Square Matrices of the same order.<\/span><\/li>\n<li><span data-contrast=\"none\"><span style=\"color: #0000ff;\"><strong>Theorem 4:<\/strong><\/span> A square matrix A is invertible if A is a non-singular matrix.<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"Arial\" data-listid=\"8\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"none\">Application of Determinants and Matrices<\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"Arial\" data-listid=\"7\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"none\">The Solution of a System of Linear Equations Using the Inverse of a Matrix<\/span>[Text Wrapping Break]<\/li>\n<\/ul>\n<p><span data-contrast=\"none\"><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/infinitylearn.com\/\" target=\"_blank\" rel=\"noopener\">Infinity Learn<\/a> <\/span>should be your Learning hub since it makes Learning Class 12 Maths Determinants Exercise 4.5 and other exercises enjoyable, stimulating, and thought-provoking. Using Infinity Learn&#8217;s complete NCERT Solutions, LIVE Master Classes and Free Conceptual Videos, LIVE Courses, Lectures, and LIVE Quizzes, you can study Exercise 4.5 Class 12 Maths. Online tests and ongoing competition will help you gain a firm grasp of the material. It will provide you with sufficient practice to help you polish your exam preparation. The online examinations will assist you in becoming more familiar with the examination setting and increase your general speed and efficiency. Class 12 Maths Ex. 4.5 Solutions have been carefully crafted to assist you in learning more quickly and remembering for a longer period of time.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQ\"><\/span><span style=\"color: #000000;\">FAQ:<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"What_is_the_topic_of_Class_12_Maths_Chapter_4_Exercise_45\"><\/span>What is the topic of Class 12 Maths Chapter 4 Exercise 4.5?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tClass 12 Maths Chapter 4 Determinants is the answer. The topics\/subtopics covered in Exercise 4.5 are 1) Adjoint and Inverse of a Matrix and 2) Adjoint of a Matrix. There are four key theorems in Class 12 Maths Exercise 4.5. Exercise 4.5 Maths Class 12 requires solid conceptual knowledge. Chapter 4 of Maths for Class 12 Exercise 4.5 follows the CBSE test question pattern and offers a variety of questions from this area of the chapter. The identical pattern can be found in Infinity Learn's Class 12 Maths NCERT Solutions Chapter 4 Exercise 4.5. This will help you become familiar with the various question types and answers\/solutions from Exercise 4.5, which may be asked in the Class 12th board exams. These are step-by-step answers that have been designed to make all complex subjects easier to understand. As a result, the difficult concepts are made easier.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"How_many_questions_are_in_the_NCERT_book_for_Class_12_Maths_Chapter_4_Exercise_45\"><\/span> How many questions are in the NCERT book for Class 12 Maths Chapter 4 Exercise 4.5?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThere are 18 questions in all. There are 11 long-type, five short-type, and two multiple-choice questions. We at Infinity Learn to provide the highest quality NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.5, which includes concise solutions to all of these problems\/questions. So that pupils in Class 11 can easily grasp the concepts behind all of the issues and solve them later on their own without difficulty.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Apart_from_practicing_for_Chapter_4_how_can_I_achieve_complete_marks_in_Class_12_Boards_Maths\"><\/span>Apart from practicing for Chapter 4, how can I achieve complete marks in Class 12 Boards Maths?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tPractice makes perfect, and mathematics is nothing more than practice. Brushing up on workouts regularly will lead to perfection and accuracy. It will help you improve your pace and finish your paper on time. It will also assist you in obtaining a perfect score on this topic. You can do this by visiting the Infinity Learn website or downloading the Infinity Learn app, which will give you the best solutions for all chapters at no cost, allowing you to achieve your goal of getting top scores in Math.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the topic of Class 12 Maths Chapter 4 Exercise 4.5?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Class 12 Maths Chapter 4 Determinants is the answer. The topics\/subtopics covered in Exercise 4.5 are 1) Adjoint and Inverse of a Matrix and 2) Adjoint of a Matrix. There are four key theorems in Class 12 Maths Exercise 4.5. Exercise 4.5 Maths Class 12 requires solid conceptual knowledge. Chapter 4 of Maths for Class 12 Exercise 4.5 follows the CBSE test question pattern and offers a variety of questions from this area of the chapter. The identical pattern can be found in Infinity Learn's Class 12 Maths NCERT Solutions Chapter 4 Exercise 4.5. This will help you become familiar with the various question types and answers\/solutions from Exercise 4.5, which may be asked in the Class 12th board exams. These are step-by-step answers that have been designed to make all complex subjects easier to understand. As a result, the difficult concepts are made easier.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \" How many questions are in the NCERT book for Class 12 Maths Chapter 4 Exercise 4.5?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"There are 18 questions in all. There are 11 long-type, five short-type, and two multiple-choice questions. We at Infinity Learn to provide the highest quality NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.5, which includes concise solutions to all of these problems\/questions. So that pupils in Class 11 can easily grasp the concepts behind all of the issues and solve them later on their own without difficulty.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Apart from practicing for Chapter 4, how can I achieve complete marks in Class 12 Boards Maths?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Practice makes perfect, and mathematics is nothing more than practice. Brushing up on workouts regularly will lead to perfection and accuracy. It will help you improve your pace and finish your paper on time. It will also assist you in obtaining a perfect score on this topic. You can do this by visiting the Infinity Learn website or downloading the Infinity Learn app, which will give you the best solutions for all chapters at no cost, allowing you to achieve your goal of getting top scores in Math.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Chapter 4 Determinants NCERT Solutions for Class 12 Maths When it comes to comprehending the challenges in Exercise 4.5 in-depth, [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Exercise 4.5 Class 12 Maths","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Free NCERT Solutions for Exercise 4.5 Class 12 Maths - Determinants solved by Expert Teachers as per NCERT (CBSE) Book guidelines.","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-4-determinants-exercise-4-5\/"},"categories":[19,32,31],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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