The applications of eigenvectors and eigenvalues | That thing you heard in Endgame has other uses
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- Опубликовано: 12 дек 2019
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This video covers the applications of eigenvectors and eigenvalues (in and outside of mathematics) that I definitely didn't learn in school.
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You touched on linear algebra, differential equations, and probability/statistics, three of the four areas of math that underlie most engineering and computing applications today (the fourth being number theory.) Nice video.
You and grant Sanderson are the reasons my interest in "understanding" mathematics is still alive ... I just can't express in words how much I owe to you both 🙏🙏🙏huge respect from India
Aww yes ! That feeling when you just finished your masters in computer science and everything on this video made perfect sense.
This was a better explanation in 20 minutes than anything in my Diff Eq + Lin Alg class. I just finished a test on eigenmagic with a decent grade, and I didn't know what an eigenvalue even was.
Great quote from the video, “Eigenvectors/Eigenvalues (in many cases) reveal long term behavior.” Why is this not the leading sentence for every math class discussing this topic? All of the sudden its application became extremely clear.
Dec 12:
So, I'm from Uruguay (Our native language is Spanish), and I was hearing the video (Started with a related one, of the same channel) and thought: "Ok, eigenvalues, and eigenvectors are really cool! So why I'm not learning this at University?", And I searched the translation, that is: "Valores propios, y Vectores propios" respectively.
No joke, your content has singlehandedly revived my interest and passion for pursuing both learning and teaching math and algorithms. I’m going to really, finally, put my nose to the grindstone to cop an ICPC medal off this inspiration high. You’re the best, Zach, and you have a new Paterson member. Godspeed!
Dawn, you can turn yourself into an engineer just by watching this and other few channels on youtube (believe me, I'm an engineer). It's so well explained and easy to understand that makes real classes tiring and boring. Thank you so much for spending your time making those helpful videos!
Love your videos Bro.. in an age where school is killing interest in the sciences, your videos keep my curiosity and interest alive... ❤️❤️
When the eigenvalue is imaginary, that means you got out of R² , and the eigenvector is perpendicular to the plan, that is the 3D vector [ 0 0 1 ], it's actually the rotation axes for the 2D rotation, that's our eigenvector in that case..., this also happens when solving vectors in 1D and getting the value “i” as result, that's actually the vector [ 0 1] in 2D => the vector perpendicular to the subspace we are in
Having watched all the previous videos, this one felt a lot like a sequel and I simply loved it. As a Math teacher having to teach Linear Algebra to engineering students, your videos are a great source of inspiration! Thank you!
I just took my linear algebra final, and this video answers the question my professor failed to all semester: what is the point of all these techniques I'm learning?
I had the pleasure of being directed to your videos today. Thank you tech companies (who paid attention in Linear Algebra classes) for using what I suspect to be a low-rank matrix decomposition to learn about my viewing preferences.
I had a brilliant doctoral computer science professor this semester and he pretty much told us that physicists and engineers he collaborated with over his career most of the time wanted fast ways to solve for eigenvalues on large computer systems lol
I feel every engineering school should show these videos to show the reason why they are learning what they are
Damn, I didn't know this when we learned this. They should have told us this first.
Been binge-watching your transformation video. Although i've done my signal processing course (which i suck at), your video gave me new insights on how to look at those transformations, big thanks! :D
This is great! Thank you! Glad to be your Patreon supporter and to be able to see your videos first!