{"id":3427,"date":"2021-09-02T09:06:00","date_gmt":"2021-09-02T09:06:00","guid":{"rendered":"https:\/\/maremathics.pfst.hr\/?p=3427"},"modified":"2022-08-30T12:57:32","modified_gmt":"2022-08-30T11:57:32","slug":"3-matrices-and-determinants-2","status":"publish","type":"post","link":"https:\/\/maremathics.pfst.hr\/?p=3427","title":{"rendered":"3. Matrices and Determinants"},"content":{"rendered":"<div class=\"post-content\">\n<h2 class=\"wp-block-heading\">Contents<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"#matrix-intro\">Matrix Multiplication &#8211; Introduction<\/a> <\/li><li><a href=\"#matrix-multi-row-col\">Example 1 &#8211; Multiplication of a Row Matrix by a Column Matrix<\/a><\/li><li><a href=\"#matrix-multi-col-row\" data-type=\"internal\" data-id=\"#matrix-multi-col-row\">Example 2 &#8211; Multiplication of Column Matrix by a Row Matrix<\/a><\/li><li><a href=\"#matrix-multi-ex3\">Example 3<\/a><\/li><li><a href=\"#appli-matrix-multi\">Application of Matrix Multiplication<\/a><ul><li><a href=\"#appli-matrix-multi-part1\">Application of Matrix Multiplication &#8211; Part I<\/a><\/li><li><a href=\"#appli-matrix-multi-part2\">Application of Matrix Multiplication &#8211; Part II<\/a><\/li><\/ul><\/li><li><a href=\"#gauss-intro-task-1\" data-type=\"internal\" data-id=\"#gauss-intro-task-1\">Gauss Method &#8211; Introductory Task I<\/a><\/li><li><a href=\"#gauss-intro-task-2\">Gauss Method &#8211; Introductory Task II<\/a><\/li><li><a href=\"#gauss-intro-task-3\">Gauss Method &#8211; Introductory Task III<\/a><\/li><li><a href=\"#gauss-method-ex1\">Gauss Method and the Rank of the Matrix &#8211; Example 1<\/a><\/li><li><a href=\"#gauss-method-ex2\">Gauss Method and the Rank of the Matrix &#8211; Example 2<\/a><\/li><li><a href=\"#gauss-method-ex3\">Gauss Method and the Rank of the Matrix &#8211; Example 3<\/a><\/li><\/ul>\n\n\n\n<figure class=\"wp-block-table is-style-stripes has-medium-font-size\"><table><tbody><tr><td class=\"has-text-align-right\" data-align=\"right\"><img loading=\"lazy\" decoding=\"async\" width=\"48\" height=\"48\" class=\"wp-image-4178\" style=\"width: 48px;\" src=\"https:\/\/maremathics.pfst.hr\/wp-content\/uploads\/2022\/06\/icons8-croatia-48.png\" alt=\"HR\"><\/td><td><a href=\"https:\/\/www.dropbox.com\/sh\/7xwtnfdq5h5tniw\/AAAPjp5wd1kM4JCd21-PN5e3a?dl=0\" data-type=\"URL\" data-id=\"https:\/\/www.dropbox.com\/sh\/7xwtnfdq5h5tniw\/AAAPjp5wd1kM4JCd21-PN5e3a?dl=0\" target=\"_blank\" rel=\"noreferrer noopener\">These videos are also available in Croatian language.<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"has-text-align-left wp-block-heading\" id=\"matrix-intro\"> Matrix Multiplication &#8211; Introduction <\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/nr7x1shhjcoj074\/01%20Matrix%20multiplication%20-%20introduction.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"matrix-multi-row-col\">Example 1 &#8211; Multiplication of a Row Matrix by a Column Matrix <\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/wfjgoj7d5t42yze\/02%20Example%201%20-%20multiplication%20of%20a%20row%20matrix%20by%20a%20column%20matrix.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"matrix-multi-col-row\">Example 2 &#8211; Multiplication of Column Matrix by a Row Matrix <\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/5c37hj9jrah531i\/03%20Example%202%20-%20multiplication%20of%20a%20column%20matrix%20by%20a%20row%20matrix.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"matrix-multi-ex3\">Example 3<\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/ic3kcpq716hkbbq\/04%20Example%203.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"appli-matrix-multi\">Application of Matrix Multiplication <\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/o0m1zbokfi0f428\/05%20Application%20of%20matrix%20multiplication.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"appli-matrix-multi-part1\">Application of Matrix Multiplication &#8211; Part I <\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/3gf7y2zzvedsr6u\/05a%20Application%20of%20matrix%20multiplication%20-%20part%201.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"appli-matrix-multi-part2\">Application of Matrix Multiplication &#8211; Part II <\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/7kig6u95yfi8eu6\/05b%20Application%20of%20matrix%20multiplication%20-%20part%202.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"wp-block-heading\" id=\"gauss-intro-task-1\">Gauss Method &#8211; Introductory Task I<\/h4>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/maremathics.pfst.hr\/wp-content\/uploads\/2020\/06\/eu-flag-1024x696.png\" alt=\"\" class=\"wp-image-30\" height=\"25\" srcset=\"https:\/\/maremathics.pfst.hr\/wp-content\/uploads\/2020\/06\/eu-flag-1024x696.png 1024w, https:\/\/maremathics.pfst.hr\/wp-content\/uploads\/2020\/06\/eu-flag-300x204.png 300w, https:\/\/maremathics.pfst.hr\/wp-content\/uploads\/2020\/06\/eu-flag-768x522.png 768w, https:\/\/maremathics.pfst.hr\/wp-content\/uploads\/2020\/06\/eu-flag-1080x734.png 1080w, https:\/\/maremathics.pfst.hr\/wp-content\/uploads\/2020\/06\/eu-flag-980x666.png 980w, https:\/\/maremathics.pfst.hr\/wp-content\/uploads\/2020\/06\/eu-flag-480x326.png 480w, https:\/\/maremathics.pfst.hr\/wp-content\/uploads\/2020\/06\/eu-flag.png 1230w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/tx63c9ftdvcjfso\/06%20Gauss%20method%20-%20introductory%20task%201.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"gauss-intro-task-2\"> Gauss Method &#8211; Introductory Task II<\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/6ctoupeapnnkyok\/07%20Gauss%20method%20-%20introductory%20task%202.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"gauss-intro-task-3\"> Gauss Method &#8211; Introductory Task III<\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/qbg5zhr22uv4zet\/08%20Gauss%20method%20-%20introductory%20task%203.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"gauss-method-ex1\">Gauss Method and the Rank of the Matrix &#8211; Example 1 <\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/4i9dc3qk4ygnr3h\/09%20Gauss%20method%20and%20rank%20of%20the%20matrix%20-%20example%201.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"gauss-method-ex2\"> Gauss Method and the Rank of the Matrix &#8211; Example 2<\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/fxjyc4ux8jiaywk\/10%20Gauss%20method%20and%20rank%20of%20the%20matrix%20-%20example%202.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"gauss-method-ex3\"> Gauss Method and the Rank of the Matrix &#8211; Example 3<\/h4>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.dropbox.com\/s\/ec2fsnboimxd83t\/11%20Gauss%20method%20and%20rank%20of%20the%20matrix%20-%20example%203.mp4?raw=1\"><\/video><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p><a href=\"https:\/\/maremathics.pfst.hr\/?p=3427\" class=\"bizfit-read-more\">More<i class=\"fa fa-long-arrow-right\" aria-hidden=\"true\"><\/i><\/a><\/p>\n","protected":false},"author":1,"featured_media":127,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-3427","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-io-3-vid"],"rise-blocks_total_comments":0,"rise-blocks_categories":[{"term_id":14,"name":"Intelectual Output 3 - Student Resources - Videos","slug":"io-3-vid","term_group":0,"term_taxonomy_id":14,"taxonomy":"category","description":"","parent":6,"count":8,"filter":"raw","cat_ID":14,"category_count":8,"category_description":"","cat_name":"Intelectual Output 3 - Student Resources - Videos","category_nicename":"io-3-vid","category_parent":6}],"rise-blocks_excerpt":"Contents Matrix Multiplication &#8211; Introduction Example 1 &#8211; Multiplication of a Row Matrix by a Column MatrixExample 2 &#8211; Multiplication of Column Matrix by a Row MatrixExample 3Application of Matrix MultiplicationApplication of Matrix Multiplication &#8211; Part IApplication of Matrix Multiplication &#8211; Part IIGauss Method &#8211; Introductory Task IGauss Method &#8211; Introductory Task IIGauss Method &#8211; Introductory Task IIIGauss Method and..","_links":{"self":[{"href":"https:\/\/maremathics.pfst.hr\/index.php?rest_route=\/wp\/v2\/posts\/3427","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/maremathics.pfst.hr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/maremathics.pfst.hr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/maremathics.pfst.hr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/maremathics.pfst.hr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3427"}],"version-history":[{"count":38,"href":"https:\/\/maremathics.pfst.hr\/index.php?rest_route=\/wp\/v2\/posts\/3427\/revisions"}],"predecessor-version":[{"id":4348,"href":"https:\/\/maremathics.pfst.hr\/index.php?rest_route=\/wp\/v2\/posts\/3427\/revisions\/4348"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/maremathics.pfst.hr\/index.php?rest_route=\/wp\/v2\/media\/127"}],"wp:attachment":[{"href":"https:\/\/maremathics.pfst.hr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3427"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/maremathics.pfst.hr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3427"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/maremathics.pfst.hr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3427"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}