V. W. X c Can 9 V, W, X are Hermitian and T = VW WX is positive semi definite. 1. Show Vr, se Cn : (r* Vr)(s* Xs) > |s*Wr|2 2. If V is positive semi definite, show Vb, le C" (k*Vk) (1*VI) > *V2 using 1. 3. If V is positive definite, show that Vf, ge C" vv-12 1 2 using 1. and 2