{"id":69003,"date":"2023-09-13T18:09:00","date_gmt":"2023-09-13T12:39:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=69003"},"modified":"2023-11-16T10:45:38","modified_gmt":"2023-11-16T05:15:38","slug":"rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-1","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-1\/","title":{"rendered":"RD Sharma Class 12 Solutions Chapter 5 Algebra of Matrices Exercise 5.1 (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-119595\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-5-Exercise-5.1.png\" alt=\"RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-5-Exercise-5.1.png 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-5-Exercise-5.1-768x432.png 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1:&nbsp;<\/strong>The subject experts at Kopykitab solve problems on Equality of Matrices of two matrices in <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions\/\"><strong>RD Sharma Solutions<\/strong><\/a> Exercise. Our faculty mostly works to make Mathematics easier for students based on their grasping ability. Regular practise is the only way for students to grasp the ideas covered in Maths Class 12, and they can use the PDF as a reference while solving. Here you will find <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-5\/\"><strong>RD Sharma Solutions for Class 12 Maths Chapter 5<\/strong><\/a> Algebra of Matrices Exercise 5.1.<\/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-69e7773f2fd6a\" 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-69e7773f2fd6a\"><\/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\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-1\/#download-rd-sharma-solutions-class-12-chapter-5-exercise-51-free-pdf\" title=\"Download RD Sharma Solutions Class 12 Chapter 5 Exercise 5.1 Free PDF\">Download RD Sharma Solutions Class 12 Chapter 5 Exercise 5.1 Free 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\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-1\/#access-answers-to-maths-rd-sharma-solutions-for-class-12-chapter-5-%e2%80%93-algebra-of-matrices-exercise-51-important-questions-with-solution\" title=\"Access answers to Maths RD Sharma Solutions For Class 12 Chapter 5 \u2013 Algebra of Matrices Exercise 5.1 Important Questions With Solution\">Access answers to Maths RD Sharma Solutions For Class 12 Chapter 5 \u2013 Algebra of Matrices Exercise 5.1 Important Questions With Solution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-1\/#access-other-exercises-of-rd-sharma-solutions-for-class-12-chapter-5\" title=\"Access other exercises of RD Sharma Solutions For Class 12 Chapter 5&nbsp;\">Access other exercises of RD Sharma Solutions For Class 12 Chapter 5&nbsp;<\/a><\/li><\/ul><\/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\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-1\/#faqs-on-rd-sharma-solutions-class-12-maths-chapter-5-exercise-51\" title=\"FAQs on RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1\">FAQs on RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1<\/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\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-1\/#where-can-i-get-rd-sharma-solutions-class-12-maths-chapter-5-exercise-51-free-pdf\" title=\"Where can I get RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1 Free PDF?\">Where can I get RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1 Free PDF?<\/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\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-1\/#how-many-questions-are-there-in-rd-sharma-solutions-for-class-12-maths-chapter-5-exercise-51\" title=\"How many questions are there in RD Sharma Solutions for Class 12 Maths Chapter 5 Exercise 5.1?\">How many questions are there in RD Sharma Solutions for Class 12 Maths Chapter 5 Exercise 5.1?<\/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\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-1\/#list-out-the-benefits-of-using-kopykitab%e2%80%99s-rd-sharma-solutions-for-class-12-maths-chapter-5-exercise-51\" title=\"List out the benefits of using Kopykitab\u2019s RD Sharma Solutions for Class 12 Maths Chapter 5 Exercise 5.1?\">List out the benefits of using Kopykitab\u2019s RD Sharma Solutions for Class 12 Maths Chapter 5 Exercise 5.1?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-solutions-class-12-chapter-5-exercise-51-free-pdf\"><\/span>Download RD Sharma Solutions Class 12 Chapter 5 Exercise 5.1 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/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\/01\/RD-_Sharma-_Class_12_Chapter_05_5.1.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-_Sharma-_Class_12_Chapter_05_5.1.pdf\">RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-maths-rd-sharma-solutions-for-class-12-chapter-5-%e2%80%93-algebra-of-matrices-exercise-51-important-questions-with-solution\"><\/span>Access answers to Maths RD Sharma Solutions For Class 12 Chapter 5 \u2013 Algebra of Matrices Exercise 5.1 Important Questions With Solution<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>1. If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements?<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>If a matrix is of order m \u00d7 n elements, it has m n elements. So, if the matrix has 8 elements, we will find the ordered pairs m and n.<\/p>\n<p>m n = 8<\/p>\n<p>Then, ordered pairs m and n will be<\/p>\n<p>m \u00d7 n be (8 \u00d7 1),(1 \u00d7 8),(4 \u00d7 2),(2 \u00d7 4)<\/p>\n<p>Now, if it has 5 elements<\/p>\n<p>Possible orders are (5 \u00d7 1), (1 \u00d7 5).<\/p>\n<p><img class=\"alignnone size-full wp-image-119638\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/2.11.gif\" alt=\"2.1\" width=\"538\" height=\"107\"><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>(i)<\/p>\n<p><img class=\"alignnone size-full wp-image-119641\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/ra.png\" alt=\"ra\" width=\"442\" height=\"284\"><\/p>\n<p>Now, Comparing with equation (1) and (2)<\/p>\n<p>a<sub>22<\/sub>&nbsp;= 4 and b<sub>21<\/sub>&nbsp;= \u2013 3<\/p>\n<p>a<sub>22<\/sub>&nbsp;+ b<sub>21<\/sub>&nbsp;= 4 + (\u2013 3) = 1<\/p>\n<p>(ii)<\/p>\n<p><img class=\"alignnone size-full wp-image-119642\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/rb.png\" alt=\"rb\" width=\"442\" height=\"284\"><\/p>\n<p>Now, Comparing with equation (1) and (2)<\/p>\n<p>a<sub>11<\/sub>&nbsp;= 2, a<sub>22<\/sub>&nbsp;= 4, b<sub>11<\/sub>&nbsp;= 2, b<sub>22<\/sub>&nbsp;= 4<\/p>\n<p>a<sub>11<\/sub>&nbsp;b<sub>11<\/sub>&nbsp;+ a<sub>22<\/sub>&nbsp;b<sub>22<\/sub>&nbsp;= 2 \u00d7 2 + 4 \u00d7 4 = 4 + 16 = 20<\/p>\n<p><strong>3. Let A be a matrix of order 3 \u00d7 4. If R<sub>1<\/sub>&nbsp;denotes the first row of A and C<sub>2<\/sub>&nbsp;denotes its second column, then determine the orders of matrices R<sub>1<\/sub>&nbsp;and C<sub>2<\/sub>.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Given A be a matrix of order 3 \u00d7 4.<\/p>\n<p>So, A = [a<sub>i j<\/sub>]&nbsp;<sub>3\u00d74<\/sub><\/p>\n<p>R<sub>1<\/sub>&nbsp;= first row of A = [a<sub>11<\/sub>, a<sub>12<\/sub>, a<sub>13<\/sub>, a<sub>14<\/sub>]<\/p>\n<p>So, order of matrix R<sub>1<\/sub>&nbsp;= 1 \u00d7 4<\/p>\n<p>C<sub>2<\/sub>&nbsp;= second column of<\/p>\n<p><img class=\"alignnone size-full wp-image-119644\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/rc.gif\" alt=\"rc\" width=\"80\" height=\"67\"><\/p>\n<p>Therefore order of&nbsp;C<sub>2<\/sub>&nbsp;= 3 \u00d7 1<\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-other-exercises-of-rd-sharma-solutions-for-class-12-chapter-5\"><\/span>Access other exercises of RD Sharma Solutions For Class 12 Chapter 5&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-2\/\">RD Sharma Class 12 Maths Exercise 5.2 Solutions<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-3\/\">RD Sharma Class 12 Maths Exercise 5.3 Solutions<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-4\/\">RD Sharma Class 12 Maths Exercise 5.4 Solutions<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-5\/\">RD Sharma Class 12 Maths Exercise 5.5 Solutions<\/a><\/li>\n<\/ul>\n<p>We have provided complete details of&nbsp;<a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-12-solutions\/\"><strong>RD Sharma Solutions Class 12 Maths <\/strong><\/a>Chapter<strong> 5<\/strong> Exercise 5.1. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a>&nbsp;Class 12 Exam, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-solutions-class-12-maths-chapter-5-exercise-51\"><\/span>FAQs on RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1<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-1629901182457\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-get-rd-sharma-solutions-class-12-maths-chapter-5-exercise-51-free-pdf\"><\/span>Where can I get RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1 Free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can get RD Sharma Class 12 Solutions Chapter 5 Exercise 5.1 Free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629901321137\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-rd-sharma-solutions-for-class-12-maths-chapter-5-exercise-51\"><\/span>How many questions are there in RD Sharma Solutions for Class 12 Maths Chapter 5 Exercise 5.1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are a total of 22 questions in RD Sharma Solutions for Class 12 Maths Chapter 5 Exercise 5.1.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629901421904\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"list-out-the-benefits-of-using-kopykitab%e2%80%99s-rd-sharma-solutions-for-class-12-maths-chapter-5-exercise-51\"><\/span>List out the benefits of using Kopykitab\u2019s RD Sharma Solutions for Class 12 Maths Chapter 5 Exercise 5.1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>1. Expert subject teachers at Kopykitab design the solutions in order to improve speed and accuracy.<br \/>2. Students can easily get solutions in an exercise-wise and chapter-wise format.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1:&nbsp;The subject experts at Kopykitab solve problems on Equality of Matrices of two matrices in RD Sharma Solutions Exercise. Our faculty mostly works to make Mathematics easier for students based on their grasping ability. Regular practise is the only way for students to grasp the ideas &#8230; <a title=\"RD Sharma Class 12 Solutions Chapter 5 Algebra of Matrices Exercise 5.1 (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-5-exercise-5-1\/\" aria-label=\"More on RD Sharma Class 12 Solutions Chapter 5 Algebra of Matrices Exercise 5.1 (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":119595,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3429,73223,73664,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69003"}],"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=69003"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69003\/revisions"}],"predecessor-version":[{"id":506823,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69003\/revisions\/506823"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/119595"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=69003"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=69003"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=69003"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}