grandes-ecoles 2022 Q6

grandes-ecoles · France · centrale-maths1__psi Proof Proof That a Map Has a Specific Property

Show that, if $M \in \mathcal { M } _ { n } ( \mathbb { R } )$ is nilpotent, then $M ^ { 2 }$ is nilpotent.

Show that, if $M \in \mathcal { M } _ { n } ( \mathbb { R } )$ is nilpotent, then $M ^ { 2 }$ is nilpotent.