How do you prove that a projector is normal if and only if it is self adjoint?(adsbygoogle = window.adsbygoogle || []).push({});

I know a matrix P is a projector if [tex]P=P^{2}[/tex] and P is normal if PP* = P*P and P is self adjoint (or hermitian) if P= P*.

I think I know how to prove that if the projector P is self adjoint then P is normal.

But I am not sure how to proceed to prove that if the projector P is normal, then it is Self adjoint.

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# Normal Projector

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