- #1
math8
- 160
- 0
How do you prove that
[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.
[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.