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{"id":226961,"date":"2022-05-18T22:43:32","date_gmt":"2022-05-18T22:43:32","guid":{"rendered":"https:\/\/qualityassignments.net\/?p=226961"},"modified":"2022-05-18T22:43:32","modified_gmt":"2022-05-18T22:43:32","slug":"for-an-m-n-matrix-a-and-its-pseudo-inverse-a-show-that-a-aaa-and-a-aaa-in-each-of-the-following-cases-a-a-is-tall-with-linearly-independent","status":"publish","type":"post","link":"https:\/\/qualityassignments.net\/2022\/05\/18\/for-an-m-n-matrix-a-and-its-pseudo-inverse-a-show-that-a-aaa-and-a-aaa-in-each-of-the-following-cases-a-a-is-tall-with-linearly-independent\/","title":{"rendered":"For an m n matrix A and its pseudo-inverse A , show that A = AAA and A = AAA in each of the following cases. (a) A is tall with linearly independent…"},"content":{"rendered":"
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\n For an m \u00d7 n matrix A and its pseudo-inverse A\u2020 , show that A = AA\u2020A and A\u2020 = A\u2020AA\u2020 in each of the following cases.\n <\/p>\n

\n (a) A is tall with linearly independent columns.\n <\/p>\n

\n (b) A is wide with linearly independent rows\n <\/p>\n

\n (c) A is square and invertible.\n <\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

For an m \u00d7 n matrix A and its pseudo-inverse A\u2020 , show that A = AA\u2020A and A\u2020 = A\u2020AA\u2020 in each of the following cases. (a) A is tall with linearly independent columns. (b) A is wide with linearly independent rows (c) A is square and invertible.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_joinchat":[]},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/226961"}],"collection":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/comments?post=226961"}],"version-history":[{"count":0,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/226961\/revisions"}],"wp:attachment":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/media?parent=226961"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/categories?post=226961"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/tags?post=226961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}