grandes-ecoles 2019 Q1

grandes-ecoles · France · centrale-maths1__mp Matrices Eigenvalue and Characteristic Polynomial Analysis
Let $M \in \mathcal{M}_n(\mathbb{K})$. Show that $M$ and $M^{\top}$ have the same spectrum.
Let $M \in \mathcal{M}_n(\mathbb{K})$. Show that $M$ and $M^{\top}$ have the same spectrum.