Can you, please help me with this. Even with the Hint I don't know whatto do
Show that the following are equivalent
(a) ( In U is posititve definite;
(b) Ip - UU* is positive definite;
(c) Im - UU* is positive definite;
(v*, w*)( Ip U ) (v w)' = v*(Ip - UU*)v+?= w*(Im - UU*)w+?