grandes-ecoles 2019 Q42

grandes-ecoles · France · centrale-maths2__psi Matrices Diagonalizability and Similarity

Using the result of question 31, prove that if $M \in \mathcal{M}_n(\mathbb{C})$ is nilpotent, then $M$, $2M$ and $M^\top$ are similar.

Using the result of question 31, prove that if $M \in \mathcal{M}_n(\mathbb{C})$ is nilpotent, then $M$, $2M$ and $M^\top$ are similar.