Let A E Mpq (C) be a px q matrix of complex numbers and B € Mar (C) a q × r matrix of complex numbers. a) Prove that ran
Posted: Thu Jun 30, 2022 7:50 pm
- Let A E Mpq C Be A Px Q Matrix Of Complex Numbers And B Mar C A Q R Matrix Of Complex Numbers A Prove That Ran 1 (25.54 KiB) Viewed 58 times
Let A E Mpq (C) be a px q matrix of complex numbers and B € Mar (C) a q × r matrix of complex numbers. a) Prove that rank(AB) + dim (im(B) ker(A)) b) Hence or otherwise prove that if rank(AB) = rank(B) then ABx = ABy if and only if Bx = By. = rank(B). JNS