Hermitian matrix

Feb 2009
98
0
If P is a Hermitian positive definite nxn matrix, is it true that \(\displaystyle (x^{*}Px)^{2} = \left\| x \right\|^{2}_{2} x^{*}P^{2}x\)
for all \(\displaystyle x \in C^{n}\) ?