{"id":1857,"date":"2021-12-23T11:34:13","date_gmt":"2021-12-23T06:04:13","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=1857"},"modified":"2023-12-29T14:52:26","modified_gmt":"2023-12-29T09:22:26","slug":"study-materials-ncert-solutions-class-12-maths-chapter-3-matrices-exercise-3-1","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-3-matrices-exercise-3-1\/","title":{"rendered":"NCERT Solutions for Exercise 3.1 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-3-1\/#Matrices_Class_12_NCERT_Solutions_31_Available_In_PDF_Format\" title=\"Matrices Class 12 NCERT Solutions 3.1 Available In PDF Format \">Matrices Class 12 NCERT Solutions 3.1 Available In PDF Format <\/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-3-1\/#Step_By_Step_Solutions_For_Class_12_Maths_Chapter_3_Exercise_31\" title=\"Step By Step Solutions For Class 12 Maths Chapter 3 Exercise 3.1\">Step By Step Solutions For Class 12 Maths Chapter 3 Exercise 3.1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><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-3-1\/#What_is_there_In_Class_12th_NCERT_Maths_Chapter_3_Matrices_Exercise_31\" title=\"What is there In Class 12th NCERT Maths Chapter 3 Matrices Exercise 3.1?\">What is there In Class 12th NCERT Maths Chapter 3 Matrices Exercise 3.1?<\/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:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-3-matrices-exercise-3-1\/#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-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-3-matrices-exercise-3-1\/#How_can_Infinity_Learns_NCERT_Solutions_for_Class_10_Maths_Chapter_3_Matrices_Exercise_31_help_you\" title=\"How can Infinity Learn&#039;s NCERT Solutions for Class 10 Maths Chapter 3 Matrices Exercise 3.1 help you?\">How can Infinity Learn&#039;s NCERT Solutions for Class 10 Maths Chapter 3 Matrices Exercise 3.1 help you?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-3-matrices-exercise-3-1\/#How_to_get_Solutions_For_The_Complete_Matrices_Ex-_31_At_One_Place\" title=\"How to get Solutions For The Complete Matrices Ex- 3.1 At One Place?\">How to get Solutions For The Complete Matrices Ex- 3.1 At One Place?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-3-matrices-exercise-3-1\/#How_to_download_Infinity_Learns_Ex_31_Class_12_Maths_Solutions\" title=\"How to download Infinity Learn&#039;s Ex 3.1 Class 12 Maths Solutions?\">How to download Infinity Learn&#039;s Ex 3.1 Class 12 Maths Solutions?<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span data-contrast=\"none\">Infinity Learn provides simple-to-understand and well-crafted NCERT Solutions for<\/span> <span data-contrast=\"none\">Exercise 3.1 Class 12 Maths Matrices. These solutions cover all important topics in the ex 3.1 Class 12 Maths with detailed explanations. Since our experts understand the importance of the Maths examination well in Class 12th, our experts strive their best to help students like you understand the complete Matrices concepts. Our NCERT Class 12 Maths Exercise 3.1 solutions will be most helpful to you in your assignments, preparations for CBSE board examinations, and practice sessions.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/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\">NCERT Solutions for Class 12 Maths<\/a><\/span> Chapter 3 Matrices Exercise 3.1<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/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\/1857\" 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-3.1.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-3.1.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 3.1<br\/><\/a>\n<h2 aria-level=\"2\"><span style=\"color: #000000; font-size: 14pt;\">Matrices Class 12 NCERT Solutions 3.1 Available In PDF Format <\/span><\/h2>\n<p><span data-contrast=\"auto\">NCERT Solutions for Class 12 Maths Chapter 3 Ex 3.1 is available in PDF format. These CBSE Textbook solutions for Exercise 3.1 Class 12 Maths are available for free. The question-by-question answers for the Exercise questions might be really useful for CBSE board exams.<\/span><\/p>\n<p><span data-contrast=\"auto\">You can get complete and detailed solutions to the questions whenever convenient for you. The best part about our PDF answers is that you may grab them right now and study them whenever you choose.<\/span><\/p>\n<h2 aria-level=\"3\"><span class=\"ez-toc-section\" id=\"Step_By_Step_Solutions_For_Class_12_Maths_Chapter_3_Exercise_31\"><\/span><span style=\"color: #000000; font-size: 14pt;\">Step By Step Solutions For Class 12 Maths Chapter 3 Exercise 3.1<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span data-contrast=\"auto\">Exercise 3.1 Maths Class 12 Solutions Matrices are offered in detail to help you understand the entire subject more straightforwardly. Because Matrices is such a crucial Chapter in the 12th board examination, it is critical to have a complete and comprehensive understanding of the subject. You would be able to achieve better and higher results in your CBSE board examinations for the 12th Class.<\/span><\/p>\n<p><span data-contrast=\"auto\">Many students become trapped and perplexed in this Chapter and find it difficult to complete matrix Class 12 Exercise 3.1. However, with Infinity Learn&#8217;s NCERT Class 12 Maths Exercise 3.1 solutions, you will be able to study and grasp the concepts with ease.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:331}\"> <\/span><\/p>\n<h2 aria-level=\"3\"><span class=\"ez-toc-section\" id=\"What_is_there_In_Class_12th_NCERT_Maths_Chapter_3_Matrices_Exercise_31\"><\/span><span style=\"color: #000000; font-size: 14pt;\">What is there In Class 12th NCERT Maths Chapter 3 Matrices Exercise 3.1?<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span data-contrast=\"auto\">Matrices are a crucial chapter in the NCERT textbooks for Class 12. Matrixes are most commonly used to represent linear transformations from and to vector fields. The matrix of order a by b, abbreviated as an x b matrix, is a rectangular array of an x b numbers (be it complex or real) in the form of horizontal lines (known as rows) and b number of vertical lines (known as rows) in the form of horizontal lines (known as rows). This type of array is usually enclosed by () or. Remember that matrices are a key part of the CBSE exams, and they play an important role in various ways!<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:331}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Infinity Learn&#8217;s notes and solutions make it very easy for students to grasp the entire concept of Matrices quickly and efficiently. To do well in forthcoming board exams, it is critical to grasp Class 12 Maths Chapter 3 Exercise 3.1.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:331}\"> <\/span><\/p>\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\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_can_Infinity_Learns_NCERT_Solutions_for_Class_10_Maths_Chapter_3_Matrices_Exercise_31_help_you\"><\/span>How can Infinity Learn&#039;s NCERT Solutions for Class 10 Maths Chapter 3 Matrices Exercise 3.1 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 3.1 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-_31_At_One_Place\"><\/span>How to get Solutions For The Complete Matrices Ex- 3.1 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 3.1 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 completely 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\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_download_Infinity_Learns_Ex_31_Class_12_Maths_Solutions\"><\/span>How to download Infinity Learn&#039;s Ex 3.1 Class 12 Maths Solutions?<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\tOur team at Infinity Learn aspires to help you pass your 12th Math board exam with confidence, not just by providing detailed and complete matrices NCERT Solutions Exercise 3.1. We strive to give you the best and most convenient option possible. This is sole to improve your score. Our specialists have created detailed and well-planned solutions that are easy to follow and help you understand the entire plus two Maths Exercise 3.1 topic.\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 can Infinity Learn's NCERT Solutions for Class 10 Maths Chapter 3 Matrices Exercise 3.1 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 3.1 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- 3.1 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 3.1 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 completely 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\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How to download Infinity Learn's Ex 3.1 Class 12 Maths Solutions?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Our team at Infinity Learn aspires to help you pass your 12th Math board exam with confidence, not just by providing detailed and complete matrices NCERT Solutions Exercise 3.1. We strive to give you the best and most convenient option possible. This is sole to improve your score. Our specialists have created detailed and well-planned solutions that are easy to follow and help you understand the entire plus two Maths Exercise 3.1 topic.\"\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>Infinity Learn provides simple-to-understand and well-crafted NCERT Solutions for Exercise 3.1 Class 12 Maths Matrices. These solutions cover all important [&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 3.1 Class 12 Maths","_yoast_wpseo_title":"NCERT Solutions for Class 12 Maths Exercise 3.1 Matrices","_yoast_wpseo_metadesc":"Free NCERT Solutions for Exercise 3.1 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-3-1\/"},"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 Class 12 Maths Exercise 3.1 Matrices<\/title>\n<meta name=\"description\" content=\"Free NCERT Solutions for Exercise 3.1 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-3-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 12 Maths Exercise 3.1 Matrices\" \/>\n<meta property=\"og:description\" content=\"Free NCERT Solutions for Exercise 3.1 Class 12 Maths - 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