grandes-ecoles 2024 Q15

grandes-ecoles · France · x-ens-maths__psi Matrices Matrix Algebra and Product Properties

Let $\alpha \in \mathbb{C}$ such that $|\alpha| < R_u$. Show that $$u(\alpha I_n) = U(\alpha) I_n$$

Let $\alpha \in \mathbb{C}$ such that $|\alpha| < R_u$. Show that
$$u(\alpha I_n) = U(\alpha) I_n$$