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.

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

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Normal Projector

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