grandes-ecoles 2023 Q6

grandes-ecoles · France · mines-ponts-maths1__pc Not Maths
Let $M \in S_n^+(\mathbf{R})$ be a non-zero matrix. Express $\|M\|_2$ in terms of the eigenvalues of $M$.
Let $M \in S_n^+(\mathbf{R})$ be a non-zero matrix. Express $\|M\|_2$ in terms of the eigenvalues of $M$.