grandes-ecoles 2013 QI.C.1

grandes-ecoles · France · centrale-maths2__mp Matrices Eigenvalue and Characteristic Polynomial Analysis

Let $A \in \mathrm{GL}_n(\mathbb{R})$. Show that ${}^t A A \in \mathcal{S}_n^{++}(\mathbb{R})$.

Let $A \in \mathrm{GL}_n(\mathbb{R})$. Show that ${}^t A A \in \mathcal{S}_n^{++}(\mathbb{R})$.