{"id":154014,"date":"2023-08-02T11:33:27","date_gmt":"2023-08-02T06:03:27","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=154014"},"modified":"2023-08-02T11:33:31","modified_gmt":"2023-08-02T06:03:31","slug":"let-%f0%9d%91%8b-be-a-square-matrix-consider-the-following-two-statements-on-%f0%9d%91%8b","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/let-%f0%9d%91%8b-be-a-square-matrix-consider-the-following-two-statements-on-%f0%9d%91%8b\/","title":{"rendered":"Let \ud835\udc4b be a square matrix. Consider the following two statements on \ud835\udc4b."},"content":{"rendered":"\n<p>Q. Let \ud835\udc4b be a square matrix. Consider the following two statements on \ud835\udc4b.<\/p>\n\n\n\n<ol class=\"wp-block-list\" type=\"I\">\n<li>\ud835\udc4b is invertible.<\/li>\n\n\n\n<li>Determinant of \ud835\udc4b is non-zero.<\/li>\n<\/ol>\n\n\n\n<p>Which one of the following is TRUE?<\/p>\n\n\n\n<p>(A) I implies II; II does not imply I.<\/p>\n\n\n\n<p>(B) II implies I; I does not imply II.<\/p>\n\n\n\n<p>(C) I does not imply II; II does not imply I.<\/p>\n\n\n\n<p>(D) I and II are equivalent statements.<\/p>\n\n\n\n<p>Ans:\u00a0I and II are equivalent statements<\/p>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"396\" height=\"303\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-482.png\" alt=\"\" class=\"wp-image-154015\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-482.png 396w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-482-300x230.png 300w\" sizes=\"auto, (max-width: 396px) 100vw, 396px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. Let \ud835\udc4b be a square matrix. Consider the following two statements on \ud835\udc4b. Which one of the following is TRUE? (A) I implies II; II does not imply I. (B) II implies I; I does not imply II. (C) I does not imply II; II does not imply I. (D) I and II are [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":154016,"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-154014","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\/154014","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=154014"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154014\/revisions"}],"predecessor-version":[{"id":154017,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154014\/revisions\/154017"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/154016"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=154014"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=154014"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=154014"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}