Linear Algebra - Lecture 33 - Eigenvectors and Eigenvalues

In this lecture, we define eigenvectors and eigenvalues of a square matrix. We also prove a couple of useful theorems related to these concepts.

[@chenlecong9938]

4.55 ops I think you’ve made a mistake over there.Shouldnt the solution be x2 into [1 1]?

[@naimfardousshezan3087]

I thought that too

[@axman6815]

This has been incredibly helpful, thank you so much (my test grade thanks you)

[@alikader909]

Great video and great series. Your explanations are amazing

[@EDROCKSWOO]

NOO why are the vids no longer following the book topics.. :( this is all ive been using to study, and now its out of order.

[@jiayili9574]

Same here I'm in panic run

[@mikey.771]

Thank you so much sir from india

[@onkarkawade]

solution in terms of x2....Not in x1.....at 4:45

[@luciewilson250]

If matrixes are similar are the eigenvalues and eigenvectors equal or just the eigenvalues? The Lay textbook seems to have information. Can you direct me to a proof or either?

[@ihy_adi]

thank you.

[@Max-wf1qm]

Are the other people right with x2 instead of x1? could you help with that please

[@HamblinMath]

It doesn't matter what you call the variable, all the solutions are multiples of (1,1).

[@manuelfalzoialcantara92]

It was a mistake on x2(1 1) it is not x1(1 1) x2 free variable), but doesnt matter yu write down there are infinite solution on (1,1) because x1=x2 then you can write x2(1 1) or write x1(1 1) x1=x2, only look a mistake but it was not a mistake!!