Matrix norm can assume infinite values?

39 Views Asked by At

Given a real-valued matrix $A=a_{i,j} \in M_{n,n}$

When: $||A||_2= \sqrt {\sum_{i=0}^n a^2_{i,j}} < + \infty$ ? Why?

1

There are 1 best solutions below

4
On

Assuming you are asking why it is finite, it is a finite sum of finite elements and therefore finite.