{"id":56194,"date":"2021-05-18T15:04:00","date_gmt":"2021-05-18T09:34:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=56194"},"modified":"2021-05-18T17:32:24","modified_gmt":"2021-05-18T12:02:24","slug":"ncert-solutions-for-class-12-maths-chapter-3-matrices","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 3 &#8211; Matrices"},"content":{"rendered":"\n<p><strong>NCERT Solutions for Class 12 Maths Chapter 3:<\/strong> Matrices are one of the fresh topics that work as a sunshine plot for the intricate Maths syllabus. Matrices Class 12 NCERT Solutions are created by expertise. These solutions assist students in comprehending the topics presented in the NCERT textbook for Matrices.<\/p>\n<ul>\n<li><strong>All you need to know about&nbsp;<a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-ncert-solutions\/\" target=\"_blank\" rel=\"noopener noreferrer\">NCERT Solutions Class 12 Maths<\/a><\/strong><\/li>\n<\/ul>\n<p>Well, we provide extensive solutions to every NCERT question, allowing students to feel at ease and secure in their ability to achieve the highest possible grade. Download and go through the NCERT Solutions for Class 12 Maths Chapter 3 PDF!<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 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\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69e903a8c74f8\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" 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: #000000;color:#000000\" 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-69e903a8c74f8\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#download-ncert-solutions-for-class-12-maths-chapter-3-matrices-pdf\" title=\"Download NCERT Solutions for Class 12 Maths Chapter 3: Matrices PDF\">Download NCERT Solutions for Class 12 Maths Chapter 3: Matrices PDF<\/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:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#access-matrix-class-12-ncert-solutions\" title=\"Access Matrix Class 12 NCERT Solutions\">Access Matrix Class 12 NCERT Solutions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#what-will-you-learn-in-matrix-maths-class-12-ncert-solutions\" title=\"What will you learn in Matrix Maths Class 12 NCERT Solutions?\">What will you learn in Matrix Maths Class 12 NCERT Solutions?<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#let-us-go-through-the-content\" title=\"Let us go through the content-\">Let us go through the content-<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#31-introduction\" title=\"3.1: Introduction\">3.1: Introduction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#32-matrix\" title=\"3.2: Matrix\">3.2: Matrix<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#33-types-of-matrices\" title=\"3.3: Types of Matrices\">3.3: Types of Matrices<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#34-operations-of-matrices\" title=\"3.4: Operations of Matrices\">3.4: Operations of Matrices<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#35-transpose-of-matrix\" title=\"3.5: Transpose of Matrix\">3.5: Transpose of Matrix<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#36-symmetric-and-skew-symmetric-matrices\" title=\"3.6: Symmetric and Skew Symmetric matrices\">3.6: Symmetric and Skew Symmetric matrices<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#37-elementary-operationtransformation-of-a-matrix\" title=\"3.7: Elementary Operation(Transformation of a matrix)\">3.7: Elementary Operation(Transformation of a matrix)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#38-invertible-matrices\" title=\"3.8: Invertible Matrices\">3.8: Invertible Matrices<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#let-us-now-check-out-the-exercises-covered-in-the-ncert-solutions-for-class-12-maths-chapter-3\" title=\"Let us now check out the exercises covered in the NCERT Solutions for Class 12 Maths Chapter 3-\">Let us now check out the exercises covered in the NCERT Solutions for Class 12 Maths Chapter 3-<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#ncert-solutions-for-class-12-maths-chapter-3-matrices-theorems-and-formulas-used\" title=\"NCERT Solutions for Class 12 Maths Chapter 3- Matrices: Theorems and formulas Used\">NCERT Solutions for Class 12 Maths Chapter 3- Matrices: Theorems and formulas Used<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#also-access\" title=\"Also Access:\">Also Access:<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#benefits-of-ncert-solutions-for-class-12-maths-chapter-3\" title=\"Benefits of NCERT Solutions for Class 12 Maths Chapter 3\">Benefits of NCERT Solutions for Class 12 Maths Chapter 3<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#faqs-ncert-solutions-for-class-12-maths-chapter-3\" title=\"FAQs: NCERT Solutions for Class 12 Maths Chapter 3\">FAQs: NCERT Solutions for Class 12 Maths Chapter 3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#how-many-exercises-are-there-in-chapter-3-of-the-ncert-textbook-for-class-12-maths\" title=\"How many exercises are there in Chapter 3 of the NCERT textbook for Class 12 Maths?\">How many exercises are there in Chapter 3 of the NCERT textbook for Class 12 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#where-can-i-get-maths-chapter-3-class-12-ncert-solutions\" title=\"Where can I get Maths Chapter 3 Class 12 NCERT solutions?\">Where can I get Maths Chapter 3 Class 12 NCERT solutions?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#is-ncert-solutions-class-12-maths-chapter-3-helpful\" title=\"Is NCERT Solutions Class 12 Maths Chapter 3 helpful?\">Is NCERT Solutions Class 12 Maths Chapter 3 helpful?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#can-i-receive-an-overview-of-the-ncert-solutions-for-class-12-maths-chapter-3-exercises\" title=\"Can I receive an overview of the NCERT Solutions for Class 12 Maths Chapter 3 exercises?\">Can I receive an overview of the NCERT Solutions for Class 12 Maths Chapter 3 exercises?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/#are-matrices-class-12-ncert-solutions-enough-for-board-examinations-preparation\" title=\"Are Matrices Class 12 NCERT Solutions enough for board examinations preparation?\">Are Matrices Class 12 NCERT Solutions enough for board examinations preparation?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-ncert-solutions-for-class-12-maths-chapter-3-matrices-pdf\"><\/span><strong>Download NCERT Solutions for Class 12 Maths Chapter 3: Matrices PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Our Maths specialists solve Class 12 Maths NCERT Solutions in a step-by-step manner, following NCERT rules, to assist you in the <strong><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-board-exam\/\">Class 12 board exams<\/a><\/strong>.&nbsp;Download NCERT Solutions for <strong><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths\/\" target=\"_blank\" rel=\"noopener noreferrer\">Class 12 Maths<\/a><\/strong> Chapter 3 in your system and start our preparation for the finals.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-matrix-class-12-ncert-solutions\"><\/span><span style=\"color: #0000ff;\"><strong>Access Matrix Class 12 NCERT Solutions<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/Class-12-Mathematics-Solutions-Chapter-3-1.pdf\">Class-12-Mathematics-Solutions-Chapter-3 pdf<\/a><\/p>\n<p>&nbsp;<\/p>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/Class-12-Mathematics-Solutions-Chapter-3-1.pdf\", \"#example1\");<\/script><\/p>\n<p>Download it &amp; start practicing now!<\/p>\n<h2><span class=\"ez-toc-section\" id=\"what-will-you-learn-in-matrix-maths-class-12-ncert-solutions\"><\/span><strong>What will you learn in Matrix Maths Class 12 NCERT Solutions?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Matrices are one of the most important and powerful tools in mathematics. This mathematical tool is now applied in genetics, economics, sociology, modern psychology, and industrial management, in addition to certain disciplines of science.<\/p>\n<p>NCERT Solutions for Class 12 Chapter 3 cover the following concepts and subtopics. You can use Kopykitab&#8217;s Matrices Class 12 NCERT Solutions to practice problems on these topics and prepare for the exam.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"let-us-go-through-the-content\"><\/span><strong>Let us go through the content-<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<h3><span class=\"ez-toc-section\" id=\"31-introduction\"><\/span><strong>3.1: Introduction<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This chapter covers every single aspect of matrix algebra thus imparting students the basics of matrices and topics associated with the same.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"32-matrix\"><\/span><strong>3.2: Matrix<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This section teaches students with minute details regarding the matrix and order of the matrix with easy examples for a thorough understanding of the chapter. It also teaches us the elemental arrangements to form a matrix and order and definitions.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"33-types-of-matrices\"><\/span><strong>3.3: Types of Matrices<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This segment teaches us about the variations in the matrix such as column matrix, row matrix, square matrix, diagonal matrix, scalar matrix, identity matrix, and zero matrices.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"34-operations-of-matrices\"><\/span><strong>3.4: Operations of Matrices<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This section covers-<\/p>\n<p>3.4.1 Addition of matrices<\/p>\n<p>3.4.2 Multiplication of a matrix by a scalar<\/p>\n<p>3.4.3 Properties of matrix addition<\/p>\n<p>3.4.4 Properties of scalar multiplication of a matrix<\/p>\n<p>3.4.5 Multiplication of matrices<\/p>\n<p>3.4.6 Properties of multiplication of matrices<\/p>\n<h3><span class=\"ez-toc-section\" id=\"35-transpose-of-matrix\"><\/span><strong>3.5: Transpose of Matrix<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This segment lets students a clear picture of the transpose matrix and properties of the same with examples to follows. The examples are given in the chapter help the reader to learn the minute details of the topic along with the transpose of a matrix.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"36-symmetric-and-skew-symmetric-matrices\"><\/span><strong>3.6: Symmetric and Skew Symmetric matrices<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This portion of the chapter clears the concept of&nbsp; Symmetric and Skew symmetric matrices with definitions alongside associated formulas, examples, and theorems.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"37-elementary-operationtransformation-of-a-matrix\"><\/span><strong>3.7: Elementary Operation(Transformation of a matrix)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This segment manages to impart the student with a sorted understanding of what is the transformation of the matrix. Amongst the processes three are due to columns and three due to rows. These are termed elementary operations or fundamental transformations.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"38-invertible-matrices\"><\/span><strong>3.8: Invertible Matrices<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The segment teaches the various practical situations for matrices to inverse them. Here students will also get detailed knowledge about how to get an inverse matrix by performing elementary operations on the elements of the matrix.<strong>&nbsp;<\/strong><\/p>\n<h4><span class=\"ez-toc-section\" id=\"let-us-now-check-out-the-exercises-covered-in-the-ncert-solutions-for-class-12-maths-chapter-3\"><\/span><strong>Let us now check out the exercises covered in the NCERT Solutions for Class 12 Maths Chapter 3-<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<table style=\"width: 100%;\" width=\"602\">\n<tbody>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"301\">\n<p>Exercise 3.1 Solutions<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"301\">\n<p>10 Questions(7 short answers, 3 MCQs)<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"301\">\n<p>Exercise 3.2 Solutions<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"301\">\n<p>22 Questions (14 Long, 6 Short, 2 MCQs)<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"301\">\n<p>Exercise 3.3 solutions<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"301\">\n<p>12 Questions (10 Short Answers, 2 MCQs)<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"301\">\n<p>Exercise 3.4 solutions<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"301\">\n<p>18 Questions (4 Long, 13 Short, 1 MCQ)<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"301\">\n<p>Miscellaneous Exercise Solutions:<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"301\">\n<p>15 Questions (7 Long, 5 Short, 3 MCQs<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-3-matrices-theorems-and-formulas-used\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 3- Matrices: Theorems and formulas Used<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>An ordered rectangular array of numbers or functions is called a matrix.<\/li>\n<li>A matrix that has m rows and n columns is called a matrix of order m \u00d7 n.<\/li>\n<li>[aij]m\u00d71 is a column matrix.<\/li>\n<li>[aij]1\u00d7n is a row matrix.<\/li>\n<li>An m \u00d7 n matrix is a square matrix if m=n.<\/li>\n<li>A = [aij]m\u00d7m is a diagonal matrix if aij=0, when i\u2260j.<\/li>\n<li>A = [aij]n\u00d7n is a scalar matrix if aij=0, when i\u2260j, aij=k (k is some constant), when i=j.<\/li>\n<li>A = [aij]n\u00d7n is an identity matrix if aij=1, when i=j, aij=0, when i\u2260j.<\/li>\n<li>A zero matrix has all its elements as zero.<\/li>\n<li>A = [aij] = [bij] = B if (i)A and B of the same order, (ii) aij = bij for all possible values of i and j.<\/li>\n<li>kA = k[aij]m\u00d7n = [k(aij)m\u00d7n]<\/li>\n<li>-A = (-1) A<\/li>\n<li>A \u2013 B = A + (-1) B<\/li>\n<li>A + B = B + A<\/li>\n<li>(A + B) + C = A + (B + C), where A, B and C are of the same order.<\/li>\n<li>k (A + B) = kA + kB, where A and B are of the same order, k is constant.<\/li>\n<li>(k + l) A = kA + lA, where k and l are constant.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"also-access\"><\/span><em><strong>Also Access:<\/strong><\/em><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"content-box-orange\">\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-syllabus\/\"><strong>CBSE Class 12 Maths Syllabus<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-sample-papers\/\"><strong>CBSE Class 12 Maths Sample Papers<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-previous-year-papers\/\"><strong>CBSE Class 12 Maths Previous year Papers<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-rd-sharma-solutions\/\"><strong>CBSE Class 12 Maths RD Sharma Solutions<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-rs-aggarwal-solutions\/\"><strong>CBSE Class 12 Maths RS Aggarwal Solutions<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-revision-notes\/\"><strong>CBSE Class 12 Maths Revision Notes<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-formulas\/\"><strong>CBSE Class 12 Maths Formulas<\/strong><\/a><\/li>\n<\/ul>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"benefits-of-ncert-solutions-for-class-12-maths-chapter-3\"><\/span><strong>Benefits of NCERT Solutions for Class 12 Maths Chapter 3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The chapter is unquestionably great assistance to gear up your exam preparation. Let us look at the several important notions that support this ideology-<\/p>\n<ol>\n<li>When you are studying Maths with Solutions for Class 12 Maths Chapter 3 &#8211; Matrices, your exam preparation is sure guided by some of the trustworthy platforms without any doubt.<\/li>\n<li>The subject matter panel works in bringing out the best of the study content for your solid exam preparation.<\/li>\n<li>NCERT Maths Chapter 3 Solutions would assist students in solidifying their understanding of Matrices topics.<\/li>\n<li>The study material is styled and curated by professionals to impart what is best suited to the students.<\/li>\n<li>After revising them, you would be able to focus better and achieve a higher grade.<\/li>\n<li>These solutions will aid in the development of student confidence.<\/li>\n<li>With the practice of each single sums given in the chapter, you are increasing your chances of scoring colorful marks for your finals which is great indeed.<\/li>\n<\/ol>\n<p><strong>Well, we have come down with all the necessary points that ensure your <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE<\/a> NCERT Solutions for Class 12 Maths Chapter 3 &#8211; Matrices well-grounded preparation. If you still face any queries with the topics make sure to ask us in the comment section below. We would be more than happy to help you out!<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"faqs-ncert-solutions-for-class-12-maths-chapter-3\"><\/span><strong>FAQs: NCERT Solutions for Class 12 Maths Chapter 3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1621332738353\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-exercises-are-there-in-chapter-3-of-the-ncert-textbook-for-class-12-maths\"><\/span>How many exercises are there in Chapter 3 of the NCERT textbook for Class 12 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>In total, there are four exercises in Chapter 3 of Class 12 Maths.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621332813322\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-get-maths-chapter-3-class-12-ncert-solutions\"><\/span>Where can I get Maths Chapter 3 Class 12 NCERT solutions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can get NCERT Solutions for Class 12 Maths Chapter 3 from the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621332850712\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-ncert-solutions-class-12-maths-chapter-3-helpful\"><\/span>Is NCERT Solutions Class 12 Maths Chapter 3 helpful?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the NCERT Chap-3 exercises are addressed by subject matter experts who have a thorough understanding of the key ideas and every step is described in easy-to-understand language.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621332897988\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-receive-an-overview-of-the-ncert-solutions-for-class-12-maths-chapter-3-exercises\"><\/span>Can I receive an overview of the NCERT Solutions for Class 12 Maths Chapter 3 exercises?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes. Go through the above blog for an overview of the NCERT Solutions for Class 12 Maths Chapter 3 exercises.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621332953331\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"are-matrices-class-12-ncert-solutions-enough-for-board-examinations-preparation\"><\/span>Are Matrices Class 12 NCERT Solutions enough for board examinations preparation?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes. Matrices Class 12 NCERT Solutions covers all the topics of a matrix which is sufficient for board examinations preparation.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 12 Maths Chapter 3: Matrices are one of the fresh topics that work as a sunshine plot for the intricate Maths syllabus. Matrices Class 12 NCERT Solutions are created by expertise. These solutions assist students in comprehending the topics presented in the NCERT textbook for Matrices. All you need to know &#8230; <a title=\"NCERT Solutions for Class 12 Maths Chapter 3 &#8211; Matrices\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/\" aria-label=\"More on NCERT Solutions for Class 12 Maths Chapter 3 &#8211; Matrices\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":56955,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2934,2917,73712,73413,2985,73410],"tags":[3041,73226,3570,75043],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56194"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=56194"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56194\/revisions"}],"predecessor-version":[{"id":89896,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56194\/revisions\/89896"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/56955"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=56194"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=56194"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=56194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}