How do you prove that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\left\|A^{*} A \right\|_{2}= \left\| A \right\|^{2}_{2}[/tex] ?

I can prove that [tex]\left\|A^{*} A \right\|_{2} \leq \left\| A \right\|^{2}_{2}[/tex]

but I am not sure how to do it for the other inequality.

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

Dismiss Notice

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!

# Homework Help: 2-norm math help

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