Question

It is said that if the matrix S is non-singular and a matrix B is \[B=S\Lambda S^{-1}\], then eigenvalues of matrix S and matrix B coincide. But what does it mean by coincide here? The eigenvalues of matrix A and S will still be different.

Answer 1

But the eigenvalues of B and S are not the same, wouldn't they?

Answer 2

you might want to recheck your problem to see if you wrote it correctly.

Answer 3

ohh... you are right. I just found out that there is a printing error in the notes given. thanks for your help! :)