Let $A\in M_{n}(\mathbb{C})$ and assume that $A$ is diagonalizable, let $P\in M_{n}(\mathbb{C})$ be an invertible matrix.
My question is what are the eigenvectors of $P^{-1}AP$ ?
I think it's probably something like $P$(eigenvectors of $A)$ , but I don't remember...
I appriciate any help.