{"id":160678,"date":"2023-10-02T13:45:47","date_gmt":"2023-10-02T08:15:47","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=160678"},"modified":"2023-10-02T13:45:49","modified_gmt":"2023-10-02T08:15:49","slug":"consider-a-non-singular-2x2-square-matrix-a-if-tracea-4-and-tracea2-5","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/consider-a-non-singular-2x2-square-matrix-a-if-tracea-4-and-tracea2-5\/","title":{"rendered":"Consider a non-singular 2\u00d72 square matrix A . If trace(A) = 4 and trace(A2 ) = 5"},"content":{"rendered":"\n<p>Q. Consider a non-singular 2\u00d72 square matrix <strong>A <\/strong>. If <em>trace<\/em>(<strong>A<\/strong>) = 4 and <em>trace<\/em>(<strong>A<\/strong>2 ) = 5 , the determinant of the matrix <strong>A <\/strong>is__________(up to 1 decimal place).<\/p>\n\n\n\n<p>Ans: 5.5<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/Screenshot-1001.png\" alt=\"\" class=\"wp-image-160679\" style=\"width:443px;height:406px\" width=\"443\" height=\"406\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/Screenshot-1001.png 457w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/Screenshot-1001-300x275.png 300w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. Consider a non-singular 2\u00d72 square matrix A . If trace(A) = 4 and trace(A2 ) = 5 , the determinant of the matrix A is__________(up to 1 decimal place). Ans: 5.5 Sol:<\/p>\n","protected":false},"author":419,"featured_media":160680,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-160678","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160678","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=160678"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160678\/revisions"}],"predecessor-version":[{"id":160681,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160678\/revisions\/160681"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/160680"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=160678"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=160678"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=160678"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}