{"id":92111,"date":"2021-05-31T17:29:11","date_gmt":"2021-05-31T11:59:11","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=92111"},"modified":"2021-05-31T17:29:15","modified_gmt":"2021-05-31T11:59:15","slug":"ncert-solutions-class-12-maths-chapter-4-exercise-4-2","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-4-exercise-4-2\/","title":{"rendered":"NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2"},"content":{"rendered":"\n<p><strong>NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2: <\/strong>NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2, comprises solutions of questions of Exercise 4.2. Subject experts have designed these NCERT Solutions for <a href=\"https:\/\/www.kopykitab.com\/Class-12-Maths\" target=\"_blank\" rel=\"noopener\">Class 12<\/a> Maths easily and simply.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/\"><strong>NCERT Solutions For Class 12 Maths Chapter 4: Determinants\u00a0<\/strong><\/a><\/li>\n<\/ul>\n<p>Students can understand the concepts without any hassle. To understand the NCERT Solutions of Class 12 mathematics and excel in their Maths skills, you can download its 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-69d870f88d10d\" 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-69d870f88d10d\"><\/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-4-exercise-4-2\/#ncert-solutions-class-12-maths-chapter-4-exercise-42\" title=\"NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2\">NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2<\/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-4-exercise-4-2\/#download-ncert-solutions-class-12-maths-chapter-4-exercise-42-pdf\" title=\"Download NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2 PDF:\">Download NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2 PDF:<\/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-4-exercise-4-2\/#ncert-solutions-class-12-maths-chapter-4-exercise-42-2\" title=\"NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2\">NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-4-exercise-4-2\/#properties-of-determinants\" title=\"Properties of Determinants\">Properties of Determinants<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-4-exercise-4-2\/#why-study-from-ncert-solutions-class-12-maths-chapter-4-exercise-42\" title=\"Why study from NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2?\">Why study from NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2?<\/a><ul class='ez-toc-list-level-3'><li class='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-4-exercise-4-2\/#access-other-exercise-ncert-solutions-of-class-12-maths-determinants\" title=\"Access Other Exercise NCERT Solutions of Class 12 Maths Determinants\">Access Other Exercise NCERT Solutions of Class 12 Maths Determinants<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-4-exercise-4-2\/#faqs-on-the-ncert-solutions-class-12-maths-chapter-4-exercise-42\" title=\"FAQs on the NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2\">FAQs on the NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2<\/a><ul class='ez-toc-list-level-3'><li class='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-4-exercise-4-2\/#how-to-define-a-determinant-in-maths-chapter-4\" title=\"How to define a determinant in Maths Chapter 4?\">How to define a determinant in Maths Chapter 4?<\/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-4-exercise-4-2\/#how-is-a-determinant-of-matrix-p-denoted\" title=\"How is a determinant of matrix P denoted?\">How is a determinant of matrix P denoted?<\/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-4-exercise-4-2\/#what-are-some-of-the-properties-of-a-determinant\" title=\"What are some of the properties of a determinant?\">What are some of the properties of a determinant?<\/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-4-exercise-4-2\/#how-to-define-all-zero-property\" title=\"How to define All-Zero Property?\">How to define All-Zero Property?<\/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-4-exercise-4-2\/#how-to-define-scalar-multiple-property\" title=\"How to define Scalar Multiple Property?\">How to define Scalar Multiple Property?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-4-exercise-4-2\/#how-much-does-it-cost-to-download-the-ncert-solutions-of-class-12-maths-chapter-4-exercise-41-pdf\" title=\"How much does it cost to download the NCERT Solutions of Class 12 Maths Chapter 4 Exercise 4.1 PDF?\">How much does it cost to download the NCERT Solutions of Class 12 Maths Chapter 4 Exercise 4.1 PDF?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-class-12-maths-chapter-4-exercise-42\"><\/span>NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/05\/4.2-1.pdf\" target=\"_blank\" rel=\"noopener\">NCERT Solutions Class 12 Maths Ch 4 Exercise 4.2 PDF<\/a><\/p>\n<p>\u00a0<\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<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\/4.2-1.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"download-ncert-solutions-class-12-maths-chapter-4-exercise-42-pdf\"><\/span>Download NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2 PDF:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: center;\"><a style=\"width: auto; padding: 18px; cursor: pointer; font-weight: bold; border-radius: 40px; color: #ffffff; background: #ff4500;\" href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/05\/4.2-1.pdf\" target=\"_blank\" rel=\"noopener\">Click Here<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-class-12-maths-chapter-4-exercise-42-2\"><\/span>NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The frequently asked questions in exams must be prepared with a deep understanding and regular practice. It can be done when you are preparing from NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.1. To do that you can download the PDF of NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.1.\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"properties-of-determinants\"><\/span>Properties of Determinants<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>As mentioned before, a determinant is defined as a special number found by using a square matrix. The determinant of a matrix, also known as P, can also be denoted as det P or det (P). To permit an individual for getting similar results with simpler and different configurations of entries, there are different properties of determinants.<\/p>\n<p>Now NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.1 has explained the properties of determinants below. Here is a proper list of the properties of determinants.\u00a0<\/p>\n<ol>\n<li><strong>Reflection Property:\u00a0<\/strong>As per this property, if the rows are changed into columns, the determinant remains unaltered. In order to make the property effective, the columns should also change into rows.\u00a0<\/li>\n<li><strong>All-Zero Property:\u00a0<\/strong>According to this property, the value of a determinant is zero, if all the elements of a row or column are also zero.\u00a0<\/li>\n<li><strong>Switching Property:\u00a0<\/strong>In this property, the interchange of any two rows or columns of a determinant, results in the change in the sign.\u00a0<\/li>\n<li><strong>Scalar Multiple Property:\u00a0<\/strong>If all the elements of a row or column of the determinant, multiplied by a non-zero, the determinant will get multiplied by the same constant.\u00a0<\/li>\n<li><strong>Repetition or Proportionality Property: <\/strong>In this property, if\u00a0all the elements of a row or column are proportional or identical to\u00a0the elements of another row or column, then the value of the determinant is zero.\u00a0<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"why-study-from-ncert-solutions-class-12-maths-chapter-4-exercise-42\"><\/span>Why study from NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>You might think if studying from NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.1 worth it? The answer is yes, and to support the claim, here are some good reasons.\u00a0<\/p>\n<ol>\n<li>High-quality content with reliable and accurate solutions.\u00a0<\/li>\n<li>Subject matter experts have designed the solutions.\u00a0<\/li>\n<li>All the answered are solved with steps and proper explanation, for your better understanding of concepts.\u00a0<\/li>\n<li>The PDF form of the solutions is available which is easy to download and free of cost.<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"access-other-exercise-ncert-solutions-of-class-12-maths-determinants\"><\/span>Access Other Exercise NCERT Solutions of Class 12 Maths Determinants<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>You can download the PDF of NCERT Solutions <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> Class 12 Maths for Chapter 4 other exercise:<\/p>\n<ul>\n<li><strong>Exercise 4.1<\/strong><\/li>\n<li><strong>Exercise 4.3<\/strong><\/li>\n<li><strong>Exercise 4.4<\/strong><\/li>\n<li><strong>Exercise 4.5<\/strong><\/li>\n<li><strong>Exercise 4.6<\/strong><\/li>\n<\/ul>\n<p><strong>All the best to the students appearing for the Class 12th board exam. Here is the detailed blog of NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2. For further queries regarding the Class 12th exam, you can ask in the comment box.\u00a0\u00a0<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-the-ncert-solutions-class-12-maths-chapter-4-exercise-42\"><\/span>FAQs on the NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1622096276641\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-to-define-a-determinant-in-maths-chapter-4\"><\/span>How to define a determinant in Maths Chapter 4?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>A determinant is defined as a special number found by using a square matrix.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622096338143\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-is-a-determinant-of-matrix-p-denoted\"><\/span>How is a determinant of matrix P denoted?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The determinant of a matrix, also known as P, can also be denoted as det P or det (P).<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622096401922\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-some-of-the-properties-of-a-determinant\"><\/span>What are some of the properties of a determinant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The properties of a determinant are:<br \/>All-Zero property<br \/>Reflection Property<br \/>Scalar Multiple Property, and more<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622096559897\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-to-define-all-zero-property\"><\/span>How to define All-Zero Property?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>According to this property, the value of a determinant is zero, if all the elements of a row or column are also zero.\u00a0<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622096610702\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-to-define-scalar-multiple-property\"><\/span>How to define Scalar Multiple Property?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>If all the elements of a row or column of the determinant, multiplied by a non-zero, the determinant will get multiplied by the same constant.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622096722392\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-ncert-solutions-of-class-12-maths-chapter-4-exercise-41-pdf\"><\/span>How much does it cost to download the NCERT Solutions of Class 12 Maths Chapter 4 Exercise 4.1 PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download the PDF for free.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2: NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2, comprises solutions of questions of Exercise 4.2. Subject experts have designed these NCERT Solutions for Class 12 Maths easily and simply. NCERT Solutions For Class 12 Maths Chapter 4: Determinants\u00a0 Students can understand the concepts without any &#8230; <a title=\"NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-4-exercise-4-2\/\" aria-label=\"More on NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":92971,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73413,2917,73693,2985],"tags":[73226,3570,75043],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/92111"}],"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\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=92111"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/92111\/revisions"}],"predecessor-version":[{"id":92969,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/92111\/revisions\/92969"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/92971"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=92111"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=92111"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=92111"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}