If a matrix $A$ is diagonalizable, is $A$ invertible?
I know that $P^{-1}AP = \text{some diagonal matrix}$ and therefore $P$ is invertible, but not sure of $A$ itself.
If a matrix $A$ is diagonalizable, is $A$ invertible?
I know that $P^{-1}AP = \text{some diagonal matrix}$ and therefore $P$ is invertible, but not sure of $A$ itself.