Diagonalizability

[@RalphDratman]

This was helpful to me as it brings together some concepts I learned separately. After watching, I used Mathematica to generate a random matrix and a random vector to try this out.

[@alvinlepik5265]

It's amazing you have time to pump out videos like this almost on a daily basis and you're not delivering a series of lectures, cause the topics change so suddenly. Here's what weird to me, though. I recall you saying in one of your videos you hate or at least don't like algebra. Yet here we are :D

[@drpeyam]

Haha, I usually do the videos in batches, and then just release them on different dates, that’s why it seems so varied! And linear algebra isn’t algebra for me 😉 It’s kind of like a hybrid math subject everyone can use 🙂

[@MrCigarro50]

Great video. For us, statisticians, is not just important but fundamental.

[@noahtaul]

I think you should do a video on the Jordan-Chevalley decomposition, it's very cool and a nontrivial existence-and-uniqueness fact about matrices is just out of nowhere.

[@MrRyanroberson1]

interesting to think about n-agonal. (0,0,0) - (1,1,1) is triagonal, and so on.

[@DanielCastro-uy7lu]

OMG what a coincidence, I just proved it yesterday 😂

[@alwysrite]

So what are the practical applications of these characteristics in the real world?

[@drpeyam]

My Eigenvalues (Lay Chapter 5) Playlist has some neat applications

[@diegoov926]

Espectacular

[@JaydentheMathGuy]

YAY!

[@alwysrite]

here's a longer word ... you have to beat this .... supercalifragilisticexpialidocious

[@drpeyam]

donaudampfschiffahrtselektrizitätswerksgesellschaftkapitänsmütze :)

[@mimithehotdog7836]

4:08 No d-beta about it!

[@LuisBorja1981]

Matrix Dabbing

[@JamalAhmadMalik]

I'm studying engineering, but I want to study Mathematics for MS. Would it be possible for me?

[@JamalAhmadMalik]

I am a BS Mechanical Engineering student.

[@Fujibayashi50]

@@JamalAhmadMalik You would have to take additional courses since the stuff in Engineering is simply not enough to deal with the Master Courses in Mathematics. Universities usually have counselors for students to answer their questions. You should seek them out. It is possible, but every university may handle it differently.

[@JamalAhmadMalik]

@@Fujibayashi50 Thanks a lot for letting me know :)

[@joluju2375]

So it's diagonalizable if there is a basis where it's diagonal ??? Never mind, I still like you !

[@drpeyam]

Yep, got it :)

[@FunctionalIntegral]

ERSTER! LOL

[@Fujibayashi50]

Zweiter lul

[@FunctionalIntegral]

@@Fujibayashi50 Schöner Name!

[@Fujibayashi50]

@@FunctionalIntegral Hab ich aus dem Spiel Dragen Age Origins geklaut. Sehr zu empfehlen

[@whythosenames]

Siebter lol

[@FunctionalIntegral]

@@Fujibayashi50 Achso. Ja hat mich auch gewundert, da ich so einen Mädchenname ja noch nie gehört hatte.