Release of Cramer's rule
Added 2019-03-17 04:53:13 +0000 UTCSome of you may remember this video from several months back. Now it's live!
Originally, I was planning on stacking up a few additions to the linear algebra series and releasing them as a little bundle, but I've decided to go ahead and just publish this one. As mentioned in the last post, the plan is currently to do a miniseries on differential equations next, and I'll likely follow that by cleaning up, extending, and publishing the existing probability material. So realistically I know it'll be a while until there are many more linear algebra topics.
Comments
This lecture by Douglas Hofstadter tells the story really well: <a href="https://www.youtube.com/watch?v=1JdS-1-yYu8&t=1s" rel="nofollow noopener" target="_blank">https://www.youtube.com/watch?v=1JdS-1-yYu8&t=1s</a>
2019-03-21 10:56:31 +0000 UTCGreat video. I think a video on Hofstadter's Butterfly would be really cool! It's a really interesting connection between number theory and solid-state physics, and would really lend itself to the animated style.
2019-03-21 10:55:47 +0000 UTCThanks!!
Programmable Spacecraft
2019-03-18 21:06:55 +0000 UTCI like this visual approach, but for me it was much easier to understand Kramer's rule just algebraically. Basically what one needs is the rule of determinant multiplication and realization that det of that unit matrix with one column replaced by x1,x2,x3,x4... is that xi on diagonal. Second part is that multiplication of the original matrix by this special "almost" unit matrix results in a matrix with just one column being replaced by the right side of the original linear system... No inversion,no division, no need for a particular geometry, so it works fine in modular fields, function fields etc..
2019-03-17 11:03:51 +0000 UTCThanks for another great video. I can't wait for the additional linear algebra material :-)
2019-03-17 07:25:35 +0000 UTCThe geometrical explanation of Cramer’s rule here is nice, <a href="http://geocalc.clas.asu.edu/pdf/MathViruses.pdf" rel="nofollow noopener" target="_blank">http://geocalc.clas.asu.edu/pdf/MathViruses.pdf</a>
Jacob Rus
2019-03-17 06:15:00 +0000 UTCAnother great video with graphical explanations (some little uneven audio levels but those are minor)
Gregor Shapiro
2019-03-17 05:11:44 +0000 UTC
