grandes-ecoles 2013 QIII.A.2

grandes-ecoles · France · centrale-maths2__psi Matrices Eigenvalue and Characteristic Polynomial Analysis

Let $D \in M_p(\mathbb{K})$ be a diagonal matrix.
Show that there exists a polynomial $Q \in \mathbb{C}[X]$ such that $Q(D) = E(D)$.

Let $D \in M_p(\mathbb{K})$ be a diagonal matrix.

Show that there exists a polynomial $Q \in \mathbb{C}[X]$ such that $Q(D) = E(D)$.