grandes-ecoles 2019 Q2

grandes-ecoles · France · centrale-maths1__official Matrices Diagonalizability and Similarity

Let $M \in \mathcal{M}_n(\mathbb{K})$. Show that $M^{\top}$ is diagonalisable if and only if $M$ is diagonalisable.

Let $M \in \mathcal{M}_n(\mathbb{K})$. Show that $M^{\top}$ is diagonalisable if and only if $M$ is diagonalisable.