Norms

Hello. I need some help on proving this:

If is a vector norm on , then prove that:
is a matrix norm.

Thank you very much for your time

You need to check three things. Which property are you struggling with ? The triangle inequality ?

Quote:

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Originally Posted by javax

Hello. I need some help on proving this:

If is a vector norm on , then prove that:
is a matrix norm.

Thank you very much for your time

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I've done this on my blog (this is called the operator norm)--look here and here