grandes-ecoles 2013 QIV.F

grandes-ecoles · France · centrale-maths2__psi Matrices Linear Transformation and Endomorphism Properties

Let $A \in M_p(\mathbb{C})$ be nilpotent of order $k$.
Show that $E(A) - I_p$ is nilpotent.

Let $A \in M_p(\mathbb{C})$ be nilpotent of order $k$.

Show that $E(A) - I_p$ is nilpotent.