I wonder given [tex]||Ax||_{a} = ||Bx||_{b}[/tex] for any [tex]x \in \mathbb{R}^n[/tex], is it true that [tex]||A||_{a} = ||B||_{b}[/tex], where [tex]||.||_{a}, ||.||_{b}[/tex] are two vector norms and the matrix norms are induced by the corresponding vector norms?(adsbygoogle = window.adsbygoogle || []).push({});

Thanks in advance.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A question concerning matrix norms

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**