{"id":91826,"date":"2021-05-28T13:29:27","date_gmt":"2021-05-28T07:59:27","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=91826"},"modified":"2021-05-28T13:29:31","modified_gmt":"2021-05-28T07:59:31","slug":"ncert-solutions-class-12-maths-chapter-3-exercise-3-4","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-3-exercise-3-4\/","title":{"rendered":"NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4"},"content":{"rendered":"\n<p>NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4 has all the questions which are available in the NCERT Maths Book. These solutions are prepared by our expert teachers. This will help you in amazing preparation for your <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-board-exam\/\"><strong>Class 12 Board exams<\/strong><\/a>.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-3-matrices\/\"><strong>NCERT Solutions Class 12 Maths Chapter 3: Matrices<\/strong><\/a><\/li>\n<\/ul>\n<p>However, in this article, you can easily download the Free PDF for Exercise 3.4. NCERT Solutions Class 12 Maths Chapter 3!<\/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-69d9193ee2adb\" 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-69d9193ee2adb\"><\/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-class-12-maths-chapter-3-exercise-3-4\/#download-the-pdf-for-the-class-12-maths-chapter-3-exercise-34\" title=\"Download the PDF for the Class 12 Maths Chapter 3 Exercise 3.4.\">Download the PDF for the Class 12 Maths Chapter 3 Exercise 3.4.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-3-exercise-3-4\/#topics-included-in-ncert-solutions-class-12-maths-chapter-3-exercise-34\" title=\"Topics Included in NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4\">Topics Included in NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4<\/a><\/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-class-12-maths-chapter-3-exercise-3-4\/#access-other-exercise-solutions-of-class-12-chapter-3-matrices\" title=\"Access Other Exercise Solutions of Class 12 Chapter 3 Matrices\">Access Other Exercise Solutions of Class 12 Chapter 3 Matrices<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-3-exercise-3-4\/#ncert-solutions-for-class-12-maths-chapter-3-exercise-34-matrices-formulas-used\" title=\"NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4- Matrices: Formulas Used\">NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4- Matrices: 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-5\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-3-exercise-3-4\/#faq-ncert-solutions-class-12-maths-chapter-3-exercise-34\" title=\"FAQ: NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4\">FAQ: NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4<\/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-class-12-maths-chapter-3-exercise-3-4\/#how-many-questions-are-included-in-the-ncert-solutions-class-12-maths-chapter-3-exercise-34\" title=\"How many questions are included in the NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4? \">How many questions are included in the NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4? <\/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-class-12-maths-chapter-3-exercise-3-4\/#what-chapters-are-deleted-from-maths-class-12\" title=\"What Chapters are deleted from Maths Class 12?\">What Chapters are deleted from Maths Class 12?<\/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-class-12-maths-chapter-3-exercise-3-4\/#is-class-12-maths-easy\" title=\"Is Class 12 Maths Easy? \">Is Class 12 Maths Easy? <\/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-class-12-maths-chapter-3-exercise-3-4\/#what-is-asked-in-the-new-maths-practical-exam\" title=\"What is asked in the new Maths Practical Exam? \">What is asked in the new Maths Practical Exam? <\/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-class-12-maths-chapter-3-exercise-3-4\/#what-is-the-easiest-chapter-in-class-12-maths\" title=\"What is the easiest chapter in Class 12 Maths? \">What is the easiest chapter in Class 12 Maths? <\/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-class-12-maths-chapter-3-exercise-3-4\/#can-i-download-ncert-solutions-class-12-maths-chapter-3-exercise-34-pdf-on-my-smartphone\" title=\"Can I download NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4 PDF on my smartphone?\">Can I download NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4 PDF on my smartphone?<\/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-class-12-maths-chapter-3-exercise-3-4\/#can-i-prepare-for-the-cbse-12th-board-exam-in-just-1-month\" title=\"Can I prepare for the CBSE 12th board exam in just 1 month?\">Can I prepare for the CBSE 12th board exam in just 1 month?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-the-pdf-for-the-class-12-maths-chapter-3-exercise-34\"><\/span>Download the PDF for the Class 12 Maths Chapter 3 Exercise 3.4.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>This PDF is based on the important topics included the Exercise 3.4.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/05\/3.4.pdf\">Download the Free PDF for Exercise 3.4. NCERT Solutions Class 12 Maths Chapter 3<\/a><\/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\/2021\/05\/3.4.pdf\", \"#example1\");<\/script><\/p>\n<p style=\"text-align: justify;\">&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"topics-included-in-ncert-solutions-class-12-maths-chapter-3-exercise-34\"><\/span>Topics Included in NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>You can look over the topics included in NCERT Solutions Class 12 Maths Ch 3 Exercise 3.4<\/p>\n<ul>\n<li>Elementary Operation Transformation of a Matrix.<\/li>\n<li>Invertible Matrices<\/li>\n<li>The inverse of a Matrix by elementary Operations.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"access-other-exercise-solutions-of-class-12-chapter-3-matrices\"><\/span>Access Other Exercise Solutions of Class 12 Chapter 3 Matrices<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>You can also look at the other Exercises of NCERT Solutions for Chapter 3 Maths:<\/p>\n<p>NCERT Solutions for Chapter 3: Exercise 3.1<\/p>\n<p>NCERT Solutions for Chapter 3: Exercise 3.2<\/p>\n<p>NCERT Solutions for Chapter 3: Exercise 3.3<\/p>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-3-exercise-34-matrices-formulas-used\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4- Matrices: Formulas Used<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Check out the basic formula used in NCERT Solutions Class 12 Maths Chapter 3 Exercises:<\/p>\n<ul>\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<p>We have provided the NCERT Solutions PDF for Class 12 Maths Chapter 3 Exercise 3.4. If you have any queries, feel free to ask in the comment section below.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-ncert-solutions-class-12-maths-chapter-3-exercise-34\"><\/span>FAQ: NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4<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-1622018687852\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-included-in-the-ncert-solutions-class-12-maths-chapter-3-exercise-34\"><\/span>How many questions are included in the <a rel=\"noreferrer noopener\" href=\"https:\/\/ncert.nic.in\/\" target=\"_blank\">NCERT<\/a> Solutions Class 12 Maths Chapter 3 Exercise 3.4? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 18 questions included in NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4. These questions are further classified as 4 long questions, 13 short questions, and 1 Multiple Choice Question.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622018697532\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-chapters-are-deleted-from-maths-class-12\"><\/span>What Chapters are deleted from Maths Class 12?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Limits and Derivatives Nil Unit-V, Delete full Chapter Unit VI, statistics analysis of frequency distribution with equal means but different variances Unit 1.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622018738943\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-class-12-maths-easy\"><\/span>Is Class 12 Maths Easy? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the paper has a Moderate to difficulty level with tough 1 mark questions.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622018760447\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-asked-in-the-new-maths-practical-exam\"><\/span>What is asked in the new Maths Practical Exam? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The examiner at the practice will be allowed to ask the student to perform any one of the 10 activities they have been taught.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622018777822\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-the-easiest-chapter-in-class-12-maths\"><\/span>What is the easiest chapter in Class 12 Maths? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Vector Algebra is the easiest topic in Class 12 Maths.<br \/>Can I download this PDF on my smartphone?. Yes, you can download this PDF on my smartphone.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622018797985\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-download-ncert-solutions-class-12-maths-chapter-3-exercise-34-pdf-on-my-smartphone\"><\/span>Can I download NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4 PDF on my smartphone?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can download NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4 PDF on your smartphone.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622018843133\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-prepare-for-the-cbse-12th-board-exam-in-just-1-month\"><\/span>Can I prepare for the CBSE 12th board exam in just 1 month?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>No, you need to be consistent while preparing for the CBSE 12th  board exam.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4 has all the questions which are available in the NCERT Maths Book. These solutions are prepared by our expert teachers. This will help you in amazing preparation for your Class 12 Board exams. NCERT Solutions Class 12 Maths Chapter 3: Matrices However, in this article, you &#8230; <a title=\"NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-3-exercise-3-4\/\" aria-label=\"More on NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.4\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":92513,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73413,2917,73693,2985,73410],"tags":[3570,75429,75043],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/91826"}],"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\/244"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=91826"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/91826\/revisions"}],"predecessor-version":[{"id":92515,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/91826\/revisions\/92515"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/92513"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=91826"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=91826"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=91826"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}