{"id":17,"date":"2020-11-30T19:38:49","date_gmt":"2020-11-30T19:38:49","guid":{"rendered":"http:\/\/blog.metu.edu.tr\/e235505\/?p=17"},"modified":"2020-11-30T20:08:05","modified_gmt":"2020-11-30T20:08:05","slug":"two-equivalent-systems-of-linear-equations-augmented-matrices-are-row-equivalent","status":"publish","type":"post","link":"https:\/\/blog.metu.edu.tr\/e235505\/2020\/11\/30\/two-equivalent-systems-of-linear-equations-augmented-matrices-are-row-equivalent\/","title":{"rendered":"Two equivalent systems of linear equations&#8217; augmented matrices are row equivalent"},"content":{"rendered":"\n<p>  Proposition: Let A and B mxn matrices. Also, let <\/p>\n\n\n\n<p class=\"has-text-align-center\">AX=Y and BX=Y<\/p>\n\n\n\n<p>be equivalent systems of linear equations. Then,<\/p>\n\n\n\n<p class=\"has-text-align-center\">A&#8217;=B&#8217; <\/p>\n\n\n\n<p>where <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Proposition: Let A and B mxn matrices. Also, let AX=Y and BX=Y be equivalent systems of linear equations. Then, A&#8217;=B&#8217; where<\/p>\n","protected":false},"author":6755,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[1],"tags":[],"class_list":["post-17","post","type-post","status-publish","format-standard","hentry","category-uncategorized","entry"],"_links":{"self":[{"href":"https:\/\/blog.metu.edu.tr\/e235505\/wp-json\/wp\/v2\/posts\/17","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.metu.edu.tr\/e235505\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.metu.edu.tr\/e235505\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/e235505\/wp-json\/wp\/v2\/users\/6755"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/e235505\/wp-json\/wp\/v2\/comments?post=17"}],"version-history":[{"count":0,"href":"https:\/\/blog.metu.edu.tr\/e235505\/wp-json\/wp\/v2\/posts\/17\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.metu.edu.tr\/e235505\/wp-json\/wp\/v2\/media?parent=17"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/e235505\/wp-json\/wp\/v2\/categories?post=17"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/e235505\/wp-json\/wp\/v2\/tags?post=17"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}