Whenever I teach computer graphics, one of the most important topics is learning how to work with 4×4 matrices. 4×4 matrices are the workhorse, not just of computer graphics, but of many scientific fields, including robotics, aerospace, medical imaging and quantum mechanics, to name just a few.<\/p>\n
One of the odd properties of matrices is that multiplication order matters. When you multiply two number, say 11×13, you get the same result as when you multiply 13×11. But if you multiply two matrices A and B, the product AxB is usually different from the product BxA.<\/p>\n
I needed to find a way to make this intuitive for my students, so I wrote a little visualization to help them think it through. You can try it for yourself HERE<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":" Whenever I teach computer graphics, one of the most important topics is learning how to work with 4×4 matrices. 4×4 matrices are the workhorse, not just of computer graphics, but of many scientific fields, including robotics, aerospace, medical imaging and quantum mechanics, to name just a few. One of the odd properties of matrices is … Continue reading “Matrix order”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/28796"}],"collection":[{"href":"https:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=28796"}],"version-history":[{"count":2,"href":"https:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/28796\/revisions"}],"predecessor-version":[{"id":28798,"href":"https:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/28796\/revisions\/28798"}],"wp:attachment":[{"href":"https:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=28796"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=28796"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=28796"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}