{"id":152,"date":"2015-06-02T19:42:40","date_gmt":"2015-06-02T18:42:40","guid":{"rendered":"http:\/\/www.mathsfiles.com\/blog\/?p=152"},"modified":"2015-06-02T21:28:28","modified_gmt":"2015-06-02T20:28:28","slug":"3d-matrices-multiplication-determinant-and-inverse","status":"publish","type":"post","link":"https:\/\/www.mathsfiles.com\/blog\/2015\/06\/02\/3d-matrices-multiplication-determinant-and-inverse\/","title":{"rendered":"3D Matrices: Multiplication, Determinant and Inverse"},"content":{"rendered":"<p>There are three Excel files available for download at <a href=\"http:\/\/www.mathsfiles.com\/Excel_Files\" target=\"_blank\">www.mathsfiles.com\/Excel_Files<\/a> under A\/AS Pure Files that can help with explaining these processes in a visual and interactive may.<br \/>\nSometimes a picture is worth a thousand words and I find that once students see these operations explained in this graphic way they &#8220;get it&#8221; and remember it in a quick and natural way.<br \/>\nThe files use Macros so that if you click on an element the highlighting will change dynamically to show the how the calculation is done.<br \/>\nThe entries in the Matrices can also be changed to generate new examples which is useful if the teacher wants to set a question and then later use the files to get the students to check their working.<\/p>\n<p>Here are some screenshots, click to enlarge<\/p>\n<figure id=\"attachment_153\" aria-describedby=\"caption-attachment-153\" style=\"width: 150px\" class=\"wp-caption alignnone\"><a href=\"https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixMult.gif?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"wp-image-153 size-thumbnail\" src=\"https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixMult.gif?resize=150%2C150&#038;ssl=1\" alt=\"MatrixMult\" width=\"150\" height=\"150\" srcset=\"https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixMult.gif?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixMult.gif?zoom=2&amp;resize=150%2C150&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixMult.gif?zoom=3&amp;resize=150%2C150&amp;ssl=1 450w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a><figcaption id=\"caption-attachment-153\" class=\"wp-caption-text\">Matrix Multiplication<\/figcaption><\/figure>\n<figure id=\"attachment_154\" aria-describedby=\"caption-attachment-154\" style=\"width: 150px\" class=\"wp-caption alignnone\"><a href=\"https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixDeterminant.gif?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"wp-image-154 size-thumbnail\" src=\"https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixDeterminant.gif?resize=150%2C150&#038;ssl=1\" alt=\"MatrixDeterminant\" width=\"150\" height=\"150\" srcset=\"https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixDeterminant.gif?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixDeterminant.gif?zoom=2&amp;resize=150%2C150&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixDeterminant.gif?zoom=3&amp;resize=150%2C150&amp;ssl=1 450w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a><figcaption id=\"caption-attachment-154\" class=\"wp-caption-text\">Matrix Determinant<\/figcaption><\/figure>\n<figure id=\"attachment_155\" aria-describedby=\"caption-attachment-155\" style=\"width: 150px\" class=\"wp-caption alignnone\"><a href=\"https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixInverse.gif?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"wp-image-155 size-thumbnail\" src=\"https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixInverse.gif?resize=150%2C150&#038;ssl=1\" alt=\"MatrixInverse\" width=\"150\" height=\"150\" srcset=\"https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixInverse.gif?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixInverse.gif?zoom=2&amp;resize=150%2C150&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.mathsfiles.com\/blog\/wp-content\/uploads\/2015\/06\/MatrixInverse.gif?zoom=3&amp;resize=150%2C150&amp;ssl=1 450w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a><figcaption id=\"caption-attachment-155\" class=\"wp-caption-text\">Matrix Inverse<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>There are three Excel files available for download at www.mathsfiles.com\/Excel_Files under A\/AS Pure Files that can help with explaining these processes in a visual and interactive may. Sometimes a picture is worth a thousand words and I find that once students see these operations explained in this graphic way they &#8220;get it&#8221; and remember it &hellip; <a href=\"https:\/\/www.mathsfiles.com\/blog\/2015\/06\/02\/3d-matrices-multiplication-determinant-and-inverse\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">3D Matrices: Multiplication, Determinant and Inverse<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[18,13,17],"tags":[22,3,4,21,23,16],"class_list":["post-152","post","type-post","status-publish","format-standard","hentry","category-excel-files","category-maths-teaching","category-mathsfiles-com-resources","tag-3d","tag-excel","tag-maths","tag-matrices","tag-revision","tag-teaching"],"aioseo_notices":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p6flNW-2s","_links":{"self":[{"href":"https:\/\/www.mathsfiles.com\/blog\/wp-json\/wp\/v2\/posts\/152","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mathsfiles.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mathsfiles.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mathsfiles.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mathsfiles.com\/blog\/wp-json\/wp\/v2\/comments?post=152"}],"version-history":[{"count":6,"href":"https:\/\/www.mathsfiles.com\/blog\/wp-json\/wp\/v2\/posts\/152\/revisions"}],"predecessor-version":[{"id":161,"href":"https:\/\/www.mathsfiles.com\/blog\/wp-json\/wp\/v2\/posts\/152\/revisions\/161"}],"wp:attachment":[{"href":"https:\/\/www.mathsfiles.com\/blog\/wp-json\/wp\/v2\/media?parent=152"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mathsfiles.com\/blog\/wp-json\/wp\/v2\/categories?post=152"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mathsfiles.com\/blog\/wp-json\/wp\/v2\/tags?post=152"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}