{"id":280,"date":"2025-04-02T06:35:45","date_gmt":"2025-04-02T06:35:45","guid":{"rendered":"https:\/\/qpr.ca\/blogs\/mathstuff\/?p=280"},"modified":"2025-04-04T16:50:18","modified_gmt":"2025-04-04T16:50:18","slug":"194-alan-coopers-answer-to-can-you-explain-eigenvectors-in-30-seconds-to-a-layperson-quora","status":"publish","type":"post","link":"https:\/\/qpr.ca\/blogs\/mathstuff\/2025\/04\/02\/194-alan-coopers-answer-to-can-you-explain-eigenvectors-in-30-seconds-to-a-layperson-quora\/","title":{"rendered":"Eigenvectors in 30sec"},"content":{"rendered":"<p class=\"q-text qu-display--block qu-wordBreak--break-word qu-textAlign--start\">None of the posted answers can be read in 30 seconds. So despite being 13 years late, here\u2019s one that does actually try to meet that criterion:<\/p>\n<p class=\"q-text qu-display--block qu-wordBreak--break-word qu-textAlign--start\"><a class=\"q-box qu-cursor--pointer qu-hover--textDecoration--underline b2c1r2a puppeteer_test_link\" title=\"qpr.ca\" href=\"https:\/\/qpr.ca\/blogs\/wp-content\/uploads\/2025\/04\/Eigenvectors2.m4a\" target=\"_blank\" rel=\"noopener nofollow\">https:\/\/qpr.ca\/blogs\/wp-content\/uploads\/2025\/04\/Eigenvectors2.m4a<\/a><\/p>\n<p class=\"q-text qu-display--block qu-wordBreak--break-word qu-textAlign--start\">For any movement of points in a set, an eigenvector for that movement is a line between two points in the set for which the movement does not change its direction. For example in physical 3d space if the movement of points is a pure expansion then every such line is an eigenvector (with eigenvalue being the expansion factor), and if the movement is a rotation then the eigenvectors just point along the axis (and the corresponding eigenvalue is 1).<\/p>\n<p>Source: <em><a href=\"https:\/\/www.quora.com\/Can-you-explain-eigenvectors-in-30-seconds-to-a-layperson\/answer\/Alan-Cooper-5\">(194) Alan Cooper&#8217;s answer to Can you explain eigenvectors in 30 seconds to a layperson? &#8211; Quora<\/a><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>None of the posted answers can be read in 30 seconds. So despite being 13 years late, here\u2019s one that does actually try to meet that criterion: https:\/\/qpr.ca\/blogs\/wp-content\/uploads\/2025\/04\/Eigenvectors2.m4a For any movement of points in a set, an eigenvector for that movement is a line between two points in the set for which the movement does&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-280","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/posts\/280","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/comments?post=280"}],"version-history":[{"count":3,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/posts\/280\/revisions"}],"predecessor-version":[{"id":289,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/posts\/280\/revisions\/289"}],"wp:attachment":[{"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/media?parent=280"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/categories?post=280"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/tags?post=280"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}