Subordinate matrix norm properties proof
I have to show that the subordinate matrix norm is indeed a norm so I have to show that it satisfies the 3 properties.
I've shown how it satisfies 2 of these properties but I'm stuck with this property:
||A|| > 0 unless A is the zero matrix.
How do I show that this is true?
Re: Subordinate matrix norm properties proof
Quote:
Originally Posted by
CourtneyMoon 
||A|| > 0 unless A is the zero matrix. How do I show that this is true?
Hint If $\displaystyle A=(a_{ij})\neq 0$ there exists $\displaystyle a_{kl}\neq 0$ , so $\displaystyle Ae_l\neq 0$ where $\displaystyle e_l$ is the l-th vector of the canonical basis.
