grandes-ecoles 2022 Q1

grandes-ecoles · France · centrale-maths1__pc Matrices Diagonalizability and Similarity

Prove that a matrix $A \in \mathcal{M}_{n}(\mathbb{R})$ is orthodiagonalizable if and only if it is symmetric.

Prove that a matrix $A \in \mathcal{M}_{n}(\mathbb{R})$ is orthodiagonalizable if and only if it is symmetric.