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.

[chenlecong]

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

[axman]

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

[alikader]

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.

[onkarkawade]

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

[Max-wfqm]

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

[luciewilson]

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?

[manuelfalzoialcantara]

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!!