V, W, XE Cnan are Hermitian and T = VW W*X is positive semi definite. 1. Show Vr, s Cn: (r* Vr) (s* Xs) |s*Wr| 2. If V is positive semi definite, show Vr, s E Cn (r* Vr) (s* Vs) |s*Vr| using part 1. 3. If V is positive definite, show that Vr, s Cn (r* Vr) (s*Vs) |s* Inr| using 1. and 2.