grandes-ecoles 2022 Q4

grandes-ecoles · France · mines-ponts-maths2__mp Matrices Matrix Norm, Convergence, and Inequality

$\mathbf{4}$ ▷ For any matrix $A \in \mathcal{M}_n(\mathbf{K})$, prove the relation $\left\| e^{A} \right\| \leq e^{\|A\|}$.

$\mathbf{4}$ ▷ For any matrix $A \in \mathcal{M}_n(\mathbf{K})$, prove the relation $\left\| e^{A} \right\| \leq e^{\|A\|}$.