{"id":1865,"date":"2021-12-23T11:55:01","date_gmt":"2021-12-23T06:25:01","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=1865"},"modified":"2022-05-25T12:55:09","modified_gmt":"2022-05-25T07:25:09","slug":"study-materials-ncert-solutions-class-12-maths-chapter-3-matrices-exercise-3-4","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-3-matrices-exercise-3-4\/","title":{"rendered":"NCERT Solutions for Exercise 3.4 Class 12 Maths Matrices \u2013 CBSE Term I"},"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-3-matrices-exercise-3-4\/#NCERT_Solutions_for_Class_12_Maths_Chapter_3_Exercise_34\" title=\"NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4\">NCERT Solutions for 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:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-3-matrices-exercise-3-4\/#The_topics_and_subtopics_covered_in_Class_12_Maths_Chapter_3_Matrices_Exercise_34_are_listed_below\" title=\"The topics and subtopics covered in Class 12 Maths Chapter 3 Matrices Exercise 3.4 are listed below:\">The topics and subtopics covered in Class 12 Maths Chapter 3 Matrices Exercise 3.4 are listed below:<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-3-matrices-exercise-3-4\/#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-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-3-matrices-exercise-3-4\/#How_Infinity_Learns_NCERT_Solutions_for_Class_10_Maths_Chapter_3_Matrices_Exercise_34_can_help_you\" title=\"How Infinity Learn&#039;s NCERT Solutions for Class 10 Maths Chapter 3 Matrices Exercise 3.4 can help you?\">How Infinity Learn&#039;s NCERT Solutions for Class 10 Maths Chapter 3 Matrices Exercise 3.4 can help you?<\/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-3-matrices-exercise-3-4\/#How_to_get_Solutions_For_The_Complete_Matrices_Ex-_34_At_One_Place\" title=\"How to get Solutions For The Complete Matrices Ex- 3.4 At One Place?\">How to get Solutions For The Complete Matrices Ex- 3.4 At One Place?<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p aria-level=\"2\"><span data-contrast=\"none\">All Exercise 3.4 problems are answered in the NCERT Solutions for Class 12 Maths Chapter 3 Matrices. Infinity Learn topic specialists have thoroughly solved each exercise question to assist students in answering NCERT textbook questions. NCERT Class 12 Maths Solutions can be downloaded and practiced offline by students.<\/span><\/p>\n<p aria-level=\"2\"><span data-contrast=\"none\"><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/\" target=\"_blank\" rel=\"noopener\"><strong>NCERT Solutions for Class 12 Maths<\/strong><\/a><\/span> Chapter 3 Matrices Exercise 3.4<\/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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wpcf7-validates-as-required wpcf7-validates-as-number\" aria-required=\"true\" aria-invalid=\"false\" \/><\/span><\/p>\n<p><span style=\"display:none;\"><span class=\"wpcf7-form-control-wrap current-page-url\"><input type=\"text\" name=\"current-page-url\" value=\"https:\/\/_:443\/surge\/wp-json\/wp\/v2\/posts\/1865\" size=\"40\" class=\"wpcf7-form-control wpcf7dtx-dynamictext wpcf7-dynamictext\" aria-invalid=\"false\" \/><\/span><\/span><\/p>\n<style>.wpcf7-list-item{margin: 0 0.5em 0 0!important;}<\/style>\n<p class=\"title\" style=\"color: #6e6e6e;font-size:14px;font-weight:400;text-decoration: un;\"><span class=\"wpcf7-form-control-wrap acceptance-agreement\"><span class=\"wpcf7-form-control wpcf7-acceptance\"><span class=\"wpcf7-list-item\"><input type=\"checkbox\" name=\"acceptance-agreement\" value=\"1\" aria-invalid=\"false\" checked=\"checked\" \/><\/span><\/span><\/span> I agree to the <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/terms\" style=\"text-decoration: 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-3.4.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-3.4.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 3.4<br\/><\/a>\n<h2 aria-level=\"2\"><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_12_Maths_Chapter_3_Exercise_34\"><\/span><span style=\"color: #000000; font-size: 14pt;\">NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span data-contrast=\"none\">When it comes to exam preparation, the NCERT solutions for Ex 3.4 Class 12 Maths are considered the finest alternative for CBSE students. There are a lot of exercises in this Chapter. We&#8217;ve included the Exercise 3.4 Class 12 Maths <strong><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/\" target=\"_blank\" rel=\"noopener\">NCERT solutions<\/a><\/span><\/strong> in PDF format. You can either download this solution or study it immediately from our website\/app.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:200,&quot;335559740&quot;:331}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Infinity Learn&#8217;s in-house subject matter specialists addressed the exercise&#8217;s problems\/questions with great care and precision, adhering to all CBSE criteria. Any student in Class 12 who understands all of the concepts from the Maths textbook and is well-versed in all of the problems from the exercises can easily achieve the greatest possible grade on the final exam. Students can easily grasp the pattern of questions that may be asked in the exam from this Chapter and study the marks weightage of the Chapter with the assistance of this Class 12 Maths Chapter 3 Exercise 3.4 solutions to prepare for the final examination adequately.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:200,&quot;335559740&quot;:331}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Apart from these <\/span><strong><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/\" target=\"_blank\" rel=\"noopener\">NCERT solutions for Class 12<\/a><\/span><\/strong> Maths<span data-contrast=\"none\"> Chapter 3 Exercise 3.4, this Chapter contains numerous exercises with numerous questions. As previously said, our in-house subject specialists solve\/answer all of these questions. As a result, all of these are guaranteed to be high quality, and anyone can use them to study for exams. It is critical to grasp all of the topics in the textbooks and solve the questions from the exercises supplied next to them to achieve the highest possible grade in the class.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:200,&quot;335559740&quot;:331}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Could you not put it off any longer? Get the <strong><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><\/strong> Chapter 3 Exercise 3.4 from the Infinity Learn website today for better test preparation. If you have the Infinity Learn app installed on your phone, you may also download it. The nice thing about these solutions is that they can be used online and offline.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:200,&quot;335559740&quot;:331}\"> <\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_topics_and_subtopics_covered_in_Class_12_Maths_Chapter_3_Matrices_Exercise_34_are_listed_below\"><\/span><span style=\"font-size: 12pt;\"><strong>The topics and subtopics covered in Class 12 Maths Chapter 3 Matrices Exercise 3.4 are listed below:<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"Roboto\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Elementary Operation (Transformation) of a Matrix.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"Roboto\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Invertible Matrices.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"Roboto\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">The inverse of a matrix by elementary operations.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:240,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<\/ul>\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<p><strong><span style=\"color: #0000ff;\">Question: What are the elementary operations of a Matrix?<\/span><\/strong><\/p>\n<p><span data-contrast=\"auto\"><strong><span style=\"color: #ff0000;\">Answer:<\/span><\/strong> A Matrix has six fundamental operations (3 due to rows and 3 due to columns). The Transformation of a Matrix refers to the basic functions of a Matrix. The basic operations or transformations of a matrix are listed below.<\/span><\/p>\n<ul>\n<li><span data-contrast=\"auto\"> Any two rows or columns can be swapped.<\/span><\/li>\n<li><span data-contrast=\"auto\"> Any row column&#8217;s elements are multiplied by a non-zero number<\/span><\/li>\n<li><span data-contrast=\"auto\"> The addition of the matching elements of any other row or column multiplied by any non-zero number to the elements of any row or column.<\/span><\/li>\n<\/ul>\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=\"How_Infinity_Learns_NCERT_Solutions_for_Class_10_Maths_Chapter_3_Matrices_Exercise_34_can_help_you\"><\/span>How Infinity Learn&#039;s NCERT Solutions for Class 10 Maths Chapter 3 Matrices Exercise 3.4 can help you?<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\tInfinity Learn's Exercise 3.4 Class 12 solutions are an excellent resource for grasping the full scope of the Matrices Chapter. These solutions have been designed so that you can quickly understand the entire concept. The PDF file contains numerous graphics, graphs, examples, comments, and suggestions to understand your situation better. The finest aspect of our PDF file is that it includes point-by-point solutions. This will help you perform better in examinations and earn higher grades.\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_to_get_Solutions_For_The_Complete_Matrices_Ex-_34_At_One_Place\"><\/span>How to get Solutions For The Complete Matrices Ex- 3.4 At One Place?<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\tInfinity Learn brings together all of the Matrices Class 12 NCERT Solutions 3.4 in one place. These answers are available in the form of a single PDF file that may be accessed via the Internet. It will not cost you anything to obtain the answer file; it is entirely free. You can download this PDF file from Infinity Learn's website or study the notes using our official app. Indeed, these capabilities allow you to study whenever and wherever you choose, according to your unique preferences.\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\": \"How Infinity Learn's NCERT Solutions for Class 10 Maths Chapter 3 Matrices Exercise 3.4 can help you?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Infinity Learn's Exercise 3.4 Class 12 solutions are an excellent resource for grasping the full scope of the Matrices Chapter. These solutions have been designed so that you can quickly understand the entire concept. The PDF file contains numerous graphics, graphs, examples, comments, and suggestions to understand your situation better. The finest aspect of our PDF file is that it includes point-by-point solutions. This will help you perform better in examinations and earn higher grades.\"\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 to get Solutions For The Complete Matrices Ex- 3.4 At One Place?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Infinity Learn brings together all of the Matrices Class 12 NCERT Solutions 3.4 in one place. These answers are available in the form of a single PDF file that may be accessed via the Internet. It will not cost you anything to obtain the answer file; it is entirely free. You can download this PDF file from Infinity Learn's website or study the notes using our official app. Indeed, these capabilities allow you to study whenever and wherever you choose, according to your unique preferences.\"\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>All Exercise 3.4 problems are answered in the NCERT Solutions for Class 12 Maths Chapter 3 Matrices. Infinity Learn topic [&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 3.4 Class 12 Maths","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Free NCERT Solutions for Exercise 3.4 Class 12 Maths - Matrices solved by Expert Teachers as per NCERT (CBSE) Book guidelines.","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-3-matrices-exercise-3-4\/"},"categories":[19,32,31],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Exercise 3.4 Class 12 Maths Matrices \u2013 CBSE Term I - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Free NCERT Solutions for Exercise 3.4 Class 12 Maths - Matrices solved by Expert Teachers as per NCERT (CBSE) Book guidelines.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-3-matrices-exercise-3-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Exercise 3.4 Class 12 Maths Matrices \u2013 CBSE Term I - 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