Proof of formula for determining eigenvalues | Linear Algebra | Khan Academy

Proof of formula for determining Eigenvalues

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Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

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[bastianschou]

5:57 deez nuts Sal, deez nuts. Only took 11 years

[shiringham]

How can anybody understand all this terminology?!!!

[khajiit]

all this null space amd R^n stuff complicates things, we haven't covered any of that at my uni and we've already done eignevectors/values. is there somewhere i can go to see which vids i need to watch before so that i can watch which ones and understand them? (e.g. what do i need to watch to understand this vid). thanks.

[Jakers]

All of my degree math is coming back to me... I have recently had my second child so have not had time to watch so much, but I will be covering all of linear algebra.

[kingvdarkness]

please can I ask what the "null space" is?

[x.m.caucase]

I'm french student, and I finally realize why we are reputed to be bad at math... french teaching of math SUCKS!! I just watched 20 minutes of you video, and I finaly understand what I know for years but never could explain at all... OMG it's so good to understand! Thank you!

[narical]

we r all in ur depth SAL !!!! May God Bless You

[imonsanyal]

5:57 one day I'll be mature enough to listen to that without laughing

[sujatamanazhy]

@4:22 vector v is element of Null space of (lambda*In - A)^T right i.e., B^T ?? (T: Transpose).

[khajiit]

thanks, yeah i found that after i posted this comment, i'm not actually taking linear algebra, i just need the eigenstuff for physics. i'll probably still end up going through the linear algebra playlist anyway though even though i'm not taking it at uni.

[kiriakipoursaitidou]

Please make a video for Principal Component Analysis

[kingvdarkness]

0:00 why does he write IR, what does the "I" represent?

[PhilippeZivanSussholz]

Dear Sal,
You are doing a great job !
Thank you so much !