{"id":3115,"date":"2019-06-12T15:14:15","date_gmt":"2019-06-12T15:14:15","guid":{"rendered":"http:\/\/softlect.in\/?p=3115"},"modified":"2019-06-20T14:36:14","modified_gmt":"2019-06-20T14:36:14","slug":"linear-algebra","status":"publish","type":"post","link":"http:\/\/softlect.com\/index.php\/linear-algebra\/","title":{"rendered":"Linear Algebra"},"content":{"rendered":"<h1>Linear Algebra Symbols<\/h1>\n<p>&nbsp;<br \/>\na \u2219 b<br \/>\na \u00d7 b<br \/>\nA \u2297 B<br \/>\n&nbsp;<\/p>\n<div class=\"myTable\">\n<div class=\"myTR\">\n<div class=\"myTCB\"><strong>Symbol<\/strong><\/div>\n<div class=\"myTCB\"><strong>Symbol Name<\/strong><\/div>\n<div class=\"myTCB\"><strong>Meaning \/ definition<\/strong><\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\">\u2219<\/div>\n<div class=\"myTCB\">dot<\/div>\n<div class=\"myTCB\">scalar product<\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\">\u00d7<\/div>\n<div class=\"myTCB\">cross<\/div>\n<div class=\"myTCB\">vector product<\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\"><em>A<\/em>\u2297<em>B<\/em><\/div>\n<div class=\"myTCB\">tensor product<\/div>\n<div class=\"myTCB\">tensor product of A and B<\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\"><img loading=\"lazy\" src=\"http:\/\/www.softlect.com\/imagesMaths\/inner_product.GIF\" alt=\"\\langle x,y \\rangle\" width=\"41\" height=\"20\" \/><\/div>\n<div class=\"myTCB\">inner product<\/div>\n<div class=\"myTCB\"><\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\">[ ]<\/div>\n<div class=\"myTCB\">brackets<\/div>\n<div class=\"myTCB\">matrix of numbers<\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\">( )<\/div>\n<div class=\"myTCB\">parentheses<\/div>\n<div class=\"myTCB\">matrix of numbers<\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\">| <em>A<\/em> |<\/div>\n<div class=\"myTCB\">determinant<\/div>\n<div class=\"myTCB\">determinant of matrix A<\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\">det(<em>A<\/em>)<\/div>\n<div class=\"myTCB\">determinant<\/div>\n<div class=\"myTCB\">determinant of matrix A<\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\">|| <em>x<\/em> ||<\/div>\n<div class=\"myTCB\">double vertical bars<\/div>\n<div class=\"myTCB\">norm<\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\"><em>A<\/em><sup> \u2020<\/sup><\/div>\n<div class=\"myTCB\">Hermitian matrix<\/div>\n<div class=\"myTCB\">matrix conjugate transpose<\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\"><em>A<\/em><sup> -1<\/sup><\/div>\n<div class=\"myTCB\">inverse matrix<\/div>\n<div class=\"myTCB\"><em>A A<\/em><sup>-1<\/sup> = <em>I<\/em><\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\">rank(<em>A<\/em>)<\/div>\n<div class=\"myTCB\">matrix rank<\/div>\n<div class=\"myTCB\">rank of matrix A<\/div>\n<\/div>\n<div class=\"myTR\">\n<div class=\"myTCB\">dim(<em>U<\/em>)<\/div>\n<div class=\"myTCB\">dimension<\/div>\n<div class=\"myTCB\">dimension of matrix A<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Linear Algebra Symbols &nbsp; a \u2219 b a \u00d7 b A \u2297 B &nbsp; Symbol Symbol Name Meaning \/ definition \u2219 dot scalar product \u00d7 cross vector product A\u2297B tensor&hellip; <\/p>\n","protected":false},"author":1,"featured_media":3126,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[34],"tags":[],"aioseo_notices":[],"amp_enabled":true,"_links":{"self":[{"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/posts\/3115"}],"collection":[{"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/comments?post=3115"}],"version-history":[{"count":9,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/posts\/3115\/revisions"}],"predecessor-version":[{"id":3523,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/posts\/3115\/revisions\/3523"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/media\/3126"}],"wp:attachment":[{"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/media?parent=3115"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/categories?post=3115"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/tags?post=3115"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}