grandes-ecoles 2017 Q2

grandes-ecoles · France · x-ens-maths__pc Matrices Matrix Norm, Convergence, and Inequality
Show that for $A , B \in M _ { n } ( \mathbb { C } ) , \| A B \| \leqslant \| A \| \| B \|$.
Show that for $A , B \in M _ { n } ( \mathbb { C } ) , \| A B \| \leqslant \| A \| \| B \|$.