(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show [tex]\sup _{x \neq 0}\|Ax\|_\infty/\|x\|_\infty\leq\|Ax\|_2/\|x\|_\infty[/tex]

2. Relevant equations

See above.

3. The attempt at a solution

I'm not looking for a full solution, just a push in the right direction. I've tried breaking out the numerators such that [tex]\|Ax\|\leq\|A\|\|x\|[/tex] on both sides and multiplying through, as well as trying to use [tex]\|x\|_2\geq\|x\|_\infty[/tex] and substituting to get a suitable inequality, but no luck.

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# Homework Help: Show Matrix 2-Norm Greater than Matrix Inf-Norm

Can you offer guidance or do you also need help?

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