grandes-ecoles 2017 Q8

grandes-ecoles · France · x-ens-maths__pc Invariant lines and eigenvalues and vectors Matrix Norm, Convergence, and Inequality

Show that for any matrix $A \in M _ { n } ( \mathbb { C } )$, $$\rho ( A ) \leqslant \| A \| .$$

Show that for any matrix $A \in M _ { n } ( \mathbb { C } )$,
$$\rho ( A ) \leqslant \| A \| .$$