Linear Algebra - Lecture 36 - Diagonalizing a Matrix

In this lecture, we work through some examples where we attempt to diagonalize a matrix. We also discuss a sufficient (but not necessary) condition for diagonalizability.

[isomz]

Hey James, have you considered adding some practice problems to your videos? For instance you could select problems from a free open-source textbook and assign them at the end of each of your lectures. On the following lecture you could add a link to a solution set for the previous lecture's practice problems. That way the people you're helping with these lectures could not only get the lecture help but actually have some practice problems to apply what they learned.

[repoyo]

sir you're my saviour, thanks for the videos.

[micah]

This lesson took me 2 hours to finish 😵‍💫 I always pause to try the example first and boy I went too far. For the first example I tried to find A^k thinking that was what it was asking for and I was really confused when the result was all the values in A just powered to k. I think I didn’t hit the note from the last lecture to realize that 😅

I love when a problem takes half a page of work to complete, it’s so satisfying

[saucek]

how did you factor that higher order polynomial into -(x-1)(x+2)^2?

[aaryan]

hello sir, from the textbook, there's one more theorem 7, which you haven't included in this video. Was that not so important thats why you didnt include or some other reason? By the way, loved the explanation, understood everything properly!!

[Max-wfqm]

I also have another question in 3:20 youre using a different matrix for lambda = -2. Why and how do you get a different augmented matrix than before?