EDB — 11N

Esercizi

1. [11N]Se $A\in {ℂ}^{m\times n}$ possiamo definire le norme indotte

   $$\begin{array}{}\text{(1)}& \Vert A{\Vert }_{p,q}\stackrel{.}{=}\underset{x\in {ℂ}^n,|x{|}_p\le 1}{max}|Ax{|}_q.\end{array}$$

   38

   Mostrate che $\Vert A{\Vert }_{p,q}=\Vert \bar{A}{\Vert }_{p,q}$.