{"id":361,"date":"2017-09-14T11:57:33","date_gmt":"2017-09-14T14:57:33","guid":{"rendered":"http:\/\/www.professores.uff.br\/diomarcesarlobao\/?page_id=361"},"modified":"2017-09-14T11:57:33","modified_gmt":"2017-09-14T14:57:33","slug":"cab-m","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/diomarcesarlobao\/cab-m\/","title":{"rendered":"cab.m"},"content":{"rendered":"<pre>function [c, a, b] = cab(A)\r\n\r\n% cab  A = c a b echelon factorization.\r\n%\r\n% [c, a, b] = cab(A) gives echelon bases for the column space in c\r\n% and the row space in b\r\n% b contains the nonzero rows of the echelon form rref(A)\r\n% c contains the nonzero columns of the echelon form rref(A')'\r\n% All extra nonzeros are below I in c and to the right of I in b\r\n% a is the nonsingular submatrix formed by the pivot columns and \r\n% pivot rows of A.  Those columns of b and rows of c contain I.\r\n%\r\n% See also elim, rref.\r\n\r\n[R, pivcol] = rref(A);\r\n[S, pivrow] = rref(A');\r\nb = R(1:rank(A), : );\r\nc = S(1:rank(A), : )';\r\na = A(pivrow, pivcol);<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>function [c, a, b] = cab(A) % cab A = c a b echelon factorization. % % [c, a, b] = cab(A) gives echelon bases for the column space in c % and the row space in b % b contains the nonzero rows of the echelon form rref(A) % c contains the nonzero columns [&hellip;]<\/p>\n","protected":false},"author":22,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[],"tags":[],"class_list":["post-361","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/diomarcesarlobao\/wp-json\/wp\/v2\/pages\/361","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/diomarcesarlobao\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/diomarcesarlobao\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/diomarcesarlobao\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/diomarcesarlobao\/wp-json\/wp\/v2\/comments?post=361"}],"version-history":[{"count":1,"href":"https:\/\/www.professores.uff.br\/diomarcesarlobao\/wp-json\/wp\/v2\/pages\/361\/revisions"}],"predecessor-version":[{"id":362,"href":"https:\/\/www.professores.uff.br\/diomarcesarlobao\/wp-json\/wp\/v2\/pages\/361\/revisions\/362"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/diomarcesarlobao\/wp-json\/wp\/v2\/media?parent=361"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/diomarcesarlobao\/wp-json\/wp\/v2\/categories?post=361"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/diomarcesarlobao\/wp-json\/wp\/v2\/tags?post=361"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}