The Essence of Linear Algebra Explained with Animations

Fyi: Grant Sander­son has a knack for math and cod­ing. So he cre­at­ed a tool that has helped him explain “the essence of lin­ear alge­bra” in a “visu­al­ly-dri­ven man­ner.” And he post­ed the result, a series of 13 videos, to YouTube. You can watch the col­lec­tion, called “The Essence of Lin­ear Alge­bra,” above. Top­ics cov­ered include: Vec­tors, what even are they?Matrix mul­ti­pli­ca­tion as com­po­si­tionDot prod­ucts and dual­i­ty; and more.

You can also find com­plete uni­ver­si­ty cours­es on Lin­ear Alge­bra in our col­lec­tion of Free Online Math course, a sub­set of our col­lec­tion, 1,700 Free Online Cours­es from Top Uni­ver­si­ties.

If you would like to sign up for Open Culture’s free email newslet­ter, please find it here. Or fol­low our posts on Threads, Face­book, BlueSky or Mastodon. If you would like to sup­port the mis­sion of Open Cul­ture, con­sid­er mak­ing a dona­tion to our site. It’s hard to rely 100% on ads, and your con­tri­bu­tions will help us con­tin­ue pro­vid­ing the best free cul­tur­al and edu­ca­tion­al mate­ri­als to learn­ers every­where. You can con­tribute through Pay­Pal, Patre­on, and Ven­mo (@openculture). Thanks!

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Open Culture was founded by Dan Colman.