Let $A$ denote a matrix in $\mathcal{M}_n(\mathbb{C})$. What are the matrices in $\mathcal{M}_n(\mathbb{C})$ that are both nilpotent and diagonalizable?
Let $A$ denote a matrix in $\mathcal{M}_n(\mathbb{C})$.
What are the matrices in $\mathcal{M}_n(\mathbb{C})$ that are both nilpotent and diagonalizable?