{"id":215,"date":"2024-03-05T20:58:56","date_gmt":"2024-03-05T20:58:56","guid":{"rendered":"https:\/\/depts.washington.edu\/ic\/wordpress\/?page_id=215"},"modified":"2024-03-05T20:59:16","modified_gmt":"2024-03-05T20:59:16","slug":"linear-algebra-tutorial","status":"publish","type":"page","link":"https:\/\/depts.washington.edu\/ic\/wordpress\/linear-algebra-tutorial\/","title":{"rendered":"Linear Algebra Tutorial"},"content":{"rendered":"<style>\n.ltbg\n{\nbackground-color: #eee;\n}\n<\/style>\n<p>All of the YouTube videos on this page were created and posted by <strong><em>Professor Dave Explains<\/em><\/strong>. This series is a thorough approch to mathematics that begins with basic arithmatic and ends with vector calculus. We hope that you find these tutorials useful.<\/p>\n<table width=\"100%\" border=\"0\" cellpadding=\"5\" cellspacing=\"0\">\n<tr class=\"ltbg\">\n<td width=\"33%\" valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=csgNflj69-Y\" target=\"_blank\" rel=\"noopener\">Intro to Linear Algebra<\/a><\/strong><\/td>\n<td width=\"34%\" valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=y6bVhgmy2rw\" target=\"_blank\" rel=\"noopener\">Matrices and Matrix Notation<\/a><\/strong><\/td>\n<td width=\"33%\" valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=T2Gtt8WygiU\" target=\"_blank\" rel=\"noopener\">Manipulating Matrices<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=biyQzy2yRUA\" target=\"_blank\" rel=\"noopener\">Adding Matrices<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=P5GJJ02OG08\" target=\"_blank\" rel=\"noopener\">Matrix Multiplication<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=CcbyMH3Noow\" target=\"_blank\" rel=\"noopener\">Determinant of a Matrix<\/a><\/strong><\/td>\n<\/tr>\n<tr class=\"ltbg\">\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=gPnWm-IXoAY\" target=\"_blank\" rel=\"noopener\">Vector Cross Product<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=kWorj5BBy9k\" target=\"_blank\" rel=\"noopener\">Inverse Matrices<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=RdLo-9jh2EM\" target=\"_blank\" rel=\"noopener\">Cramer&#8217;s Rule<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=EP2ghkO0lSk\" target=\"_blank\" rel=\"noopener\">Vector Spaces<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=tM4TDL9Hj8U\" target=\"_blank\" rel=\"noopener\">Subspaces and Span<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=9kDpbZCK62Y\" target=\"_blank\" rel=\"noopener\">Linear Independence<\/a><\/strong><\/td>\n<\/tr>\n<tr class=\"ltbg\">\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=4C9GKyfUQkc\" target=\"_blank\" rel=\"noopener\">Basis and Dimension<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=HZa1RwFHgwU\" target=\"_blank\" rel=\"noopener\">Change of Basis<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=is1cg5yhdds\" target=\"_blank\" rel=\"noopener\">Linear Transformations<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=vyYrvhbDhW4\" target=\"_blank\" rel=\"noopener\">Image and Kernel<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=6nqMegdbxik\" target=\"_blank\" rel=\"noopener\">Orthogonality and Orthonormality<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=zHbfZWZJTGc\" target=\"_blank\" rel=\"noopener\">Gram-Schmidt Process<\/a><\/strong><\/td>\n<\/tr>\n<tr class=\"ltbg\">\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=TQvxWaQnrqI\" target=\"_blank\" rel=\"noopener\">Eigenvalues and Eigenvectors<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=WTLl03D4TNA\" target=\"_blank\" rel=\"noopener\">Diagonalization<\/a><\/strong><\/td>\n<td valign=\"top\"><strong><a href=\"https:\/\/www.youtube.com\/watch?v=DUuTx2nbizM\" target=\"_blank\" rel=\"noopener\">Complex, Hermitian, and Unitary Matrices<\/a><\/strong><\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>All of the YouTube videos on this page were created and posted by Professor Dave Explains. This series is a thorough approch to mathematics that begins with basic arithmatic and ends with vector calculus. We hope that you find these tutorials useful. Intro to Linear Algebra Matrices and Matrix Notation Manipulating Matrices Adding Matrices Matrix Multiplication Determinant of a Matrix Vector Cross Product Inverse Matrices Cramer&#8217;s Rule Vector Spaces Subspaces and Span Linear Independence Basis and Dimension Change of Basis&#8230;<\/p>\n<div><a class=\"more-link\" href=\"https:\/\/depts.washington.edu\/ic\/wordpress\/linear-algebra-tutorial\/\">Continue reading <span class=\"screen-reader-text\">Linear Algebra Tutorial<\/span><\/a><\/div>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-215","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/pages\/215","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/comments?post=215"}],"version-history":[{"count":1,"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/pages\/215\/revisions"}],"predecessor-version":[{"id":216,"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/pages\/215\/revisions\/216"}],"wp:attachment":[{"href":"https:\/\/depts.washington.edu\/ic\/wordpress\/wp-json\/wp\/v2\/media?parent=215"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}