grandes-ecoles 2022 Q7

grandes-ecoles · France · centrale-maths1__psi Matrices Matrix Algebra and Product Properties

Suppose that $M$ and $N$ are two nilpotent matrices that commute. Show that $M N$ and $M + N$ are nilpotent.

Suppose that $M$ and $N$ are two nilpotent matrices that commute. Show that $M N$ and $M + N$ are nilpotent.