Solve for x, y and z by using matrix inverse method : x + y + z = 5, 2x \u2013 3y \u2013 4z = -11, 3x + 2y \u2013 z = -6<\/a><\/li><\/ul><\/nav><\/div>\n

<\/span>If A & B are two 2 x 2 matrices then find the value of (1) 2A + 3B (2) 3A \u2013 2B (3) 2A \u2013 4B<\/span><\/h2>\n\n\n\n
\n
<\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"If_Matrix_A_3%C3%973_and_B_3%C3%973_are_given_then_find_matrix_X_that_satisfies_following_equation\"><\/span>If Matrix A (3\u00d73) and B (3\u00d73) are given then find matrix X that satisfies following equation : <span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_2A_3B_%E2%80%93_4X_0_2_2_A_X_%E2%80%93_B_4X_X_%E2%80%93_3B\"><\/span>(1) 2A + 3B \u2013 4X = 0 (2) 2 (A +X) \u2013 (B + 4X) =X \u2013 3B<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Maths | Matrix | Addition, Subtraction & Scalar Multiplication Example| Example 4\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/ezoWtIkBtFI?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Matrix_Multiplication\"><\/span>Matrix Multiplication <span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"If_A_and_B_are_two_matrices_of_order_2_x_2_then_find_1_AB_2_BA\"><\/span>If A and B are two matrices of order 2 x 2 , then find (1) AB (2) BA<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Maths | Matrix | 2x2 Matrix Multiplication | Easy example\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/nZRvtQbYFIc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"If_A_B_and_C_are_three_2%C3%972_matrices_then_verify_that_A_B_C_AB_AC\"><\/span>If A , B and C are three 2\u00d72 matrices , then verify that A (B + C) = AB + AC<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Maths | Matrix | Matrix Multiplication of 2x2 order matrix | Example 6 | A(B+C) = AB + AC\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/qztMQrqnLWc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"If_A_is_1%C3%973_matrix_B_is_3%C3%971_matrix_then_find_AB_BA\"><\/span>If A is 1\u00d73 matrix & B is 3\u00d71 matrix, then find AB & BA.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Maths | Matrix | Multiplication of Row(1x3) Matrix & Column(3x1) Matrix | Example No 7\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/Xx_d5aDOJh4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"If_A2_is_2_x_2_matrix_then_find_matrix_A\"><\/span>If A<sup>2<\/sup> is 2 x 2 matrix, then find matrix A.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Maths | Matrix | Example 8 | Find Matrix from Square Of Matrix\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/RdecIhMaAv0?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"If_A_I_are_two_2_x_2_matrix_then_prove_that_A2_ad_A_bc-ad_I_where_I_is_2_x_2_identity_matrix\"><\/span>If A & I are two 2 x 2 matrix, then prove that A<sup>2<\/sup> (a+d) A = (bc-ad) I, where I is 2 x 2 identity matrix.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Maths | Matrix | Example 9 | Proof of A2 - (a+d)A = (bc-ad)I\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/uUTW6Muq6Wg?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"For_2_x_2_matrix_A_aij_and_B_bij_where_aij_i_3j2_2_and_bij_i_%E2%80%93_j_i_j_Then_prove_that_AB_%E2%89%A0_BA\"><\/span>For 2 x 2 matrix A = [aij] and B = [bij] where aij = (i + 3j)<sup>2<\/sup> \/ 2 and bij = (i \u2013 j) \/ (i + j) .Then prove that AB \u2260 BA.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Maths | Matrix | Proof | Matrix Multiplication | Example 10\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/24zi9UB_6rI?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"If_A_B_are_two_3_x_3_matrices_find_AB_BA\"><\/span>If A & B are two 3 x 3 matrices, find AB & BA.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Maths | Matrix | Multiplication of 3x3 order Matrices | Example\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/VB-Tr8XEWNQ?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Find_Determinant_A_of_given_matrix_of_order_3_x_3\"><\/span>Find Determinant A of given matrix of order 3 x 3.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Maths | Matrix | Determinant of 3x3 order Matrix | Example 12(2)\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/8NLwtpLZYXw?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Find_determinant_of_matrix_A_of_the_order_3_x_3\"><\/span>Find determinant of matrix A of the order 3 x 3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embedwrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Matrix | How to Find 3X3 order determinant from matrix | Example 12(3)\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/RTrr4lrJuZs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<p class=\"has-medium-font-size\">Find Inverse of matrix of order 2 x 2 <\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embedwrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Matrix | Inverse Of Matrix | Example of 2x2 order matrix inverse\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/b2fOwHf5SiQ?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Find_Inverse_of_matrix_of_order_3_x_3\"><\/span>Find Inverse of matrix of order 3 x 3 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Matrix | Inverse of Matrix | 3x3 order matrix | Example | Easy way to find Inverse of Matrix\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/J-wnweFdmZ0?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"If_A_is_3%C3%973_given_matrix_then_prove_that_A2_%E2%80%93_4A_%E2%80%93_5I_0_and_hence_Find_A-1\"><\/span>If A is 3\u00d73 given matrix then prove that A<sup>2<\/sup> \u2013 4A \u2013 5I = 0 and hence Find A<sup>-1<\/sup><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Matrix | Inverse Of Matrix | Example 16\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/hKjrblNJeXw?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"_Prove_that_A_is_non_singular_matrix_if_BACI_Identity_Matrix_All_matrices_are_2_x_2\"><\/span>\u00a0Prove that A is non singular matrix if BAC=I (Identity Matrix) (All matrices are 2 x 2)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Matrix | Inverse of Matrix | Example 17 | Prove that A is non singular matrix if BAC=I (Identity)\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/fgXhe-TKkFQ?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Solve_for_x_y_using_Matrix_inversion_method_2x_5y_9_3x_%E2%80%93_y_5\"><\/span>Solve for x & y using Matrix inversion method : 2x + 5y = 9 , 3x \u2013 y = 5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Matrix | Solution of Equations with Matrix Inverse Method | Simple Example | Example No 18\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/-OurpM3AzHg?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Solve_for_x_y_and_z_by_using_matrix_inverse_method_x_y_z_5_2x_%E2%80%93_3y_%E2%80%93_4z_-11_3x_2y_%E2%80%93_z_-6\"><\/span>Solve for x, y and z by using matrix inverse method : x + y + z = 5, 2x \u2013 3y \u2013 4z = -11, 3x + 2y \u2013 z = -6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Matrix | Solve X , Y & Z from Matrix Inverse Method | Solution of Equations | Example 20\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/XPxQm9W5T8U?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n<\/body>","protected":false},"excerpt":{"rendered":"<p>If A & B are two 2 x 2 matrices then find the value of (1) 2A + 3B (2) 3A \u2013 2B (3) 2A \u2013 4B If Matrix A (3\u00d73) and B (3\u00d73) are given then find matrix X that satisfies following equation : (1) 2A + 3B \u2013 4X = 0 (2) 2 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"zakra_page_container_layout":"customizer","zakra_page_sidebar_layout":"customizer","zakra_remove_content_margin":false,"zakra_sidebar":"customizer","zakra_transparent_header":"customizer","zakra_logo":0,"zakra_main_header_style":"default","zakra_menu_item_color":"","zakra_menu_item_hover_color":"","zakra_menu_item_active_color":"","zakra_menu_active_style":"","zakra_page_header":true,"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-2246","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2246","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/swatilathia.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2246"}],"version-history":[{"count":14,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2246\/revisions"}],"predecessor-version":[{"id":2550,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2246\/revisions\/2550"}],"wp:attachment":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2246"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}