I wanna help with that

15 points points) Let A 6 MAC). (a) (6 points) Show, using SVD (or otherwise), that one can write A = OP where O E MAC) is unitary and P 6 MAC) is positive semidenite (psd). (b) (3 points) True/ False: if A is invertible, then A 2 OP where O is orthogonal and P is positive denite (pd). (c) (3 points) Let A 6 MAC) be of even rank 2p 3 TL. Show that it can be written as the sum of rank2 matrices. (d) (3 points) Let A 6 MAC) be invertible. Show that there exist B 6 MAC) such that A B is of rank n 1 exactly