{"id":1876,"date":"2021-12-23T12:03:29","date_gmt":"2021-12-23T06:33:29","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=1876"},"modified":"2022-05-25T15:04:40","modified_gmt":"2022-05-25T09:34:40","slug":"study-materials-ncert-solutions-class-12-maths-chapter-4-determinants-exercise-4-4","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-4-determinants-exercise-4-4\/","title":{"rendered":"NCERT Solutions for Exercise 4.4 Class 12 Maths Determinants \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\" 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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-4-determinants-exercise-4-4\/#Solution_of_Class_12_Maths_Chapter_4_Determinants_Exercise_44\" title=\"Solution of Class 12 Math&#8217;s Chapter 4 Determinants Exercise 4.4:\">Solution of Class 12 Math&#8217;s Chapter 4 Determinants Exercise 4.4:<\/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-4-determinants-exercise-4-4\/#Determinant\" title=\"Determinant\">Determinant<\/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-4-determinants-exercise-4-4\/#Matrix\" title=\"Matrix\">Matrix<\/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-4-determinants-exercise-4-4\/#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-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-4-determinants-exercise-4-4\/#Can_I_get_Infinity_Learn_to_obtain_NCERT_Solutions_for_Class_12_Maths_Chapter_4\" title=\"Can I get Infinity Learn to obtain NCERT Solutions for Class 12 Maths Chapter 4?\">Can I get Infinity Learn to obtain NCERT Solutions for Class 12 Maths Chapter 4?<\/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-4-determinants-exercise-4-4\/#What_is_the_best_way_for_me_to_do_well_on_the_Class_12_Math_Final_Exam\" title=\"What is the best way for me to do well on the Class 12 Math Final Exam?\">What is the best way for me to do well on the Class 12 Math Final Exam?<\/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-4-determinants-exercise-4-4\/#What_other_books_should_I_read_in_addition_to_the_NCERT_Class_12_Maths_Textbook\" title=\"What other books should I read in addition to the NCERT Class 12 Maths Textbook?\">What other books should I read in addition to the NCERT Class 12 Maths Textbook?<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span data-contrast=\"none\">All exercise 4.4 questions are answered in the NCERT Solutions for Class 12 Maths Chapter 4 Determinants. This is excellent information for students to clear their doubts and improve their grades. We&#8217;ve supplied complete answers to all of the exercises&#8217; questions. Students can download the NCERT solutions for <strong><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/\" target=\"_blank\" rel=\"noopener\">Maths class 12<\/a><\/span><\/strong> and practice them offline to improve their grades.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"3\"><span data-contrast=\"none\">Access Answers to NCERT Class 12 Maths Chapter 4 Determinants Exercise 4.4 Page number 126<\/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\/1876\" 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-4.4.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-4.4.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 4.4<br\/><\/a>\n<h2><span class=\"ez-toc-section\" id=\"Solution_of_Class_12_Maths_Chapter_4_Determinants_Exercise_44\"><\/span><span style=\"color: #000000; font-size: 14pt;\">Solution of Class 12 Math&#8217;s Chapter 4 Determinants Exercise 4.4:<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span data-contrast=\"none\">The idea of Determinants is covered in Exercise 4.4 of 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\">Class 12 Math&#8217;s NCERT Solutions<\/a><\/span><\/strong>. Determinants are a topic in linear algebra that is researched. It is critical to study determinants to comprehend linear equations, their characteristics, and systems. This concept was invented to make things easier when it camg rather large sets of concursimultaneousions while utilizing the computer. This chapter explains how to use determinants to compute the structure of a given set of linear equations. By reading this chapter, one can quickly understand how to calculate the determinant of 2 \u00d72 and 3 \u00d73 matrices. Class 12 Exercise 4.4 has various problems in determining a determinant for 2\u00d7 2 and 3 \u00d73 matrix squares, which have been thoroughly discussed in the solutions.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Determinant\"><\/span><span style=\"font-size: 14pt; color: #000000;\">Determinant<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span data-contrast=\"none\">In the simplest terms, this chapter defines a determinant as a scalar quantity or value obtained by simplifying or computing a matrix square. This diagram represents a determinant by vertical lines on either side of a value. For example, the determinant of a matrix &#8216;M,&#8217; can be written as |M|. With a good knowledge of this chapter, you&#8217;ll see that calculating a determinant is relatively simple. A matrix square with an equal number of rows and columns is all that is required. The determinant is then calculated using only basic arithmetic.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Matrix\"><\/span><span style=\"font-size: 14pt;\">Matrix<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span data-contrast=\"none\">In mathematics, a matrix is defined as a set of values or numbers arranged in a row and column pattern with well-defined multiplication and addition operations. A matrix can be in two-dimensional (2D), three-dimensional (3D), or four-dimensional (4D) formats. In a matrix, each value has its place. The Class 12 Math&#8217;s Exercise 4.4 offers a variety of questions that require the values in a matrix to be simplified to determine a determinant.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Following are the topics covered in Class 12 Math&#8217;s Chapter 4 Determinants Exercise 4.4 :<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\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=\"none\">Minors and Cofactors<\/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\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=\"Can_I_get_Infinity_Learn_to_obtain_NCERT_Solutions_for_Class_12_Maths_Chapter_4\"><\/span>Can I get Infinity Learn to obtain NCERT Solutions for Class 12 Maths Chapter 4?<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\tBy logging into Infinity Learn's website, you may download the Class 12 Math's NCERT Solutions Chapter 4 for free. Our skilled lecturers handle these problems in a very simple and step-by-step manner. We've also included a pdf of class 12 Math's Chapter 4 exercise 4.4. Students will get better grades if they solve these problems regularly.\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=\"What_is_the_best_way_for_me_to_do_well_on_the_Class_12_Math_Final_Exam\"><\/span>What is the best way for me to do well on the Class 12 Math Final Exam?<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\tThe final examination for Class 12 is an important aspect of any student's life. As a result, they must solve NCERT solutions and practice problems regularly. Candidates aspiring for JEE should have a strong understanding of mathematics. Behind review the important mathematical formulas and take as many mock tests as possible. Studying for a better understanding and markets must have a thorough comprehension of the Class 12 maths syllabus before beginning their preparation and concentrating on their weak areas. They must also stick to a set schedule and organize the syllabus correctly.\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=\"What_other_books_should_I_read_in_addition_to_the_NCERT_Class_12_Maths_Textbook\"><\/span>What other books should I read in addition to the NCERT Class 12 Maths Textbook?<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\tEven though NCERT textbooks contain extensive information and solutions for each chapter, students need to use R.S. Agarwal and R.D. Sharma textbooks to understand better. The textbook contains chapter-by-chapter solutions classified as very short, short, long, multiple-type, and high-order thinking type questions. As a result, CBSE students can use both R.S. Agarwal and R. D. Sharma's books to understand any subject better. Students can also access Infinity Learn's website to obtain free PDFs of R.S.Agarwal's solved problems. Our skilled lecturers, who have years of knowledge in this topic, solve these problems.\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\": \"Can I get Infinity Learn to obtain NCERT Solutions for Class 12 Maths Chapter 4?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"By logging into Infinity Learn's website, you may download the Class 12 Math's NCERT Solutions Chapter 4 for free. Our skilled lecturers handle these problems in a very simple and step-by-step manner. We've also included a pdf of class 12 Math's Chapter 4 exercise 4.4. Students will get better grades if they solve these problems regularly.\"\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\": \"What is the best way for me to do well on the Class 12 Math Final Exam?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The final examination for Class 12 is an important aspect of any student's life. As a result, they must solve NCERT solutions and practice problems regularly. Candidates aspiring for JEE should have a strong understanding of mathematics. Behind review the important mathematical formulas and take as many mock tests as possible. Studying for a better understanding and markets must have a thorough comprehension of the Class 12 maths syllabus before beginning their preparation and concentrating on their weak areas. They must also stick to a set schedule and organize the syllabus correctly.\"\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\": \"What other books should I read in addition to the NCERT Class 12 Maths Textbook?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Even though NCERT textbooks contain extensive information and solutions for each chapter, students need to use R.S. Agarwal and R.D. Sharma textbooks to understand better. The textbook contains chapter-by-chapter solutions classified as very short, short, long, multiple-type, and high-order thinking type questions. As a result, CBSE students can use both R.S. Agarwal and R. D. Sharma's books to understand any subject better. Students can also access Infinity Learn's website to obtain free PDFs of R.S.Agarwal's solved problems. Our skilled lecturers, who have years of knowledge in this topic, solve these problems.\"\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 4.4 questions are answered in the NCERT Solutions for Class 12 Maths Chapter 4 Determinants. This is excellent [&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 4.4 Class 12 Maths","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Free NCERT Solutions for Exercise 4.4 Class 12 Maths - Determinants solved by Expert Teachers as per NCERT (CBSE) Book guidelines.","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-4-determinants-exercise-4-4\/"},"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 4.4 Class 12 Maths Determinants \u2013 CBSE Term I - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Free NCERT Solutions for Exercise 4.4 Class 12 Maths - Determinants 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-4-determinants-exercise-4-4\/\" \/>\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 4.4 Class 12 Maths Determinants \u2013 CBSE Term I - 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