grandes-ecoles 2018 Q2

grandes-ecoles · France · x-ens-maths1__mp Matrices Matrix Norm, Convergence, and Inequality

Let $u \in \mathbb { R } ^ { p }$. Show that $\| A u \| _ { 2 } \leqslant \| A \| _ { F } \| u \| _ { 2 }$.

Let $u \in \mathbb { R } ^ { p }$. Show that $\| A u \| _ { 2 } \leqslant \| A \| _ { F } \| u \| _ { 2 }$.