{"id":8807,"date":"2022-09-10T17:36:38","date_gmt":"2022-09-10T17:36:38","guid":{"rendered":"http:\/\/invbat.com\/blog2\/?p=8807"},"modified":"2022-09-10T18:02:09","modified_gmt":"2022-09-10T18:02:09","slug":"matrix-trace","status":"publish","type":"post","link":"https:\/\/invbat.com\/blog2\/index.php\/2022\/09\/10\/matrix-trace\/","title":{"rendered":"Matrix Trace"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">What is matrix trace? It is the sum of matrix elements on the main diagonal from upper left corner to lower right end corner. Why is learning how to compute the matrix trace important to know? Answer: Because you can use it to validate the computed eigenvalues. The sum of eigenvalues of a matrix is equal to the trace value of the matrix.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"451\" height=\"208\" src=\"https:\/\/invbat.com\/blog2\/wp-content\/uploads\/2022\/09\/matrix_trace.png\" alt=\"\" class=\"wp-image-8810\" srcset=\"https:\/\/invbat.com\/blog2\/wp-content\/uploads\/2022\/09\/matrix_trace.png 451w, https:\/\/invbat.com\/blog2\/wp-content\/uploads\/2022\/09\/matrix_trace-300x138.png 300w\" sizes=\"auto, (max-width: 451px) 85vw, 451px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"https:\/\/www.wolframalpha.com\/input?i=eigenvalues+%7B%7B2%2C1%7D%2C%7B3%2C0%7D%7D\"><img loading=\"lazy\" decoding=\"async\" width=\"822\" height=\"752\" src=\"https:\/\/invbat.com\/blog2\/wp-content\/uploads\/2022\/09\/wolfram1A.png\" alt=\"\" class=\"wp-image-8817\" srcset=\"https:\/\/invbat.com\/blog2\/wp-content\/uploads\/2022\/09\/wolfram1A.png 822w, https:\/\/invbat.com\/blog2\/wp-content\/uploads\/2022\/09\/wolfram1A-300x274.png 300w, https:\/\/invbat.com\/blog2\/wp-content\/uploads\/2022\/09\/wolfram1A-768x703.png 768w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"https:\/\/invbat.com\/361.html\"><img loading=\"lazy\" decoding=\"async\" width=\"984\" height=\"273\" src=\"https:\/\/invbat.com\/blog2\/wp-content\/uploads\/2022\/08\/aitutor2.png\" alt=\"\" class=\"wp-image-8551\" srcset=\"https:\/\/invbat.com\/blog2\/wp-content\/uploads\/2022\/08\/aitutor2.png 984w, https:\/\/invbat.com\/blog2\/wp-content\/uploads\/2022\/08\/aitutor2-300x83.png 300w, https:\/\/invbat.com\/blog2\/wp-content\/uploads\/2022\/08\/aitutor2-768x213.png 768w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is matrix trace? It is the sum of matrix elements on the main diagonal from upper left corner to lower right end corner. Why is learning how to compute the matrix trace important to know? Answer: Because you can use it to validate the computed eigenvalues. The sum of eigenvalues of a matrix is &hellip; <a href=\"https:\/\/invbat.com\/blog2\/index.php\/2022\/09\/10\/matrix-trace\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Matrix Trace&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[585,584,348],"tags":[],"class_list":["post-8807","post","type-post","status-publish","format-standard","hentry","category-matrix-2-x-3-multiplication","category-matrix-3-x-3-multiplication","category-matrix-representation"],"_links":{"self":[{"href":"https:\/\/invbat.com\/blog2\/index.php\/wp-json\/wp\/v2\/posts\/8807","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/invbat.com\/blog2\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/invbat.com\/blog2\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/invbat.com\/blog2\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/invbat.com\/blog2\/index.php\/wp-json\/wp\/v2\/comments?post=8807"}],"version-history":[{"count":7,"href":"https:\/\/invbat.com\/blog2\/index.php\/wp-json\/wp\/v2\/posts\/8807\/revisions"}],"predecessor-version":[{"id":8819,"href":"https:\/\/invbat.com\/blog2\/index.php\/wp-json\/wp\/v2\/posts\/8807\/revisions\/8819"}],"wp:attachment":[{"href":"https:\/\/invbat.com\/blog2\/index.php\/wp-json\/wp\/v2\/media?parent=8807"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/invbat.com\/blog2\/index.php\/wp-json\/wp\/v2\/categories?post=8807"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/invbat.com\/blog2\/index.php\/wp-json\/wp\/v2\/tags?post=8807"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}