Similar Matrices

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
Instructor: Gilbert Strang

If A and B are "similar" then B has the same eigenvalues as A.

License: Creative Commons BY-NC-SA

[SuBhAmVLoGS]

I totally respect this professor....at such an old is able to explain all the topics in a well-organized manner...

[elenag.]

Gilbert Strang... A true professional. I own a book of his and it's very helpful, even if the reader is a beginner in linear algebra.

[JordanEdmundsEECS]

This has been incredibly helpful, I'm starting to see the beauty of matrices.

[georgesadler]

I am learning linear algebra from one of MIT legends in mathematics.

[stealthysubie]

Thank you so much for making this simple explanation

[gyanendrabehura]

Love from IIT KGP INDUSTRIAL DEPARTMENT

[anshumansingh]

First time I'm hearing someone refer to matrices as people and comparing their beauty with each other @08:01 😂😂

[piyushmourya]

Oh god, I was trying to understand the same thing from my prof lecture slide for hours .

[aashishmalhotra]

Thanks for Providing quality education free

[ElizaberthUndEugen]

4:15 shouldn't that be M = V^-1?

similar(X, Y) iff M^-1 X M = Y

Y = A
X = L (lambda)
Y = V L V^-1 = A
=> M = V^-1

(V^-1)^-1 L V^-1 = V L V^-1 = A

[helloworld-hvoy]

so row equivalent matrices have the same eigenvectors and eigen values?

[XxSaMuRaI]

Sorry for the dumb question, can anybody explain to me how he expanded the matrices A and B when he was talking about the "caution", thank you!

[zack_]

9:35- it's weird that the exp rules are invalid here. This is Not math, my love for math gone 👎

[coop]

Ahhhh. I keep feeling like the board will just fall on his hand

[alanfate]

He didn't really explain jordan form