Let A € Mpq (C) be a px q matrix of complex numbers and B € Mar (C) a q × r matrix of complex numbers. a) Prove that ra
Posted: Thu Jun 30, 2022 7:40 pm
a) Prove that rank(AB) + dim (im(B) ♫ ker(A)) = rank(B) b) Hence or otherwise prove that if rank(AB) = rank(B) then ABx = ABy if and only if Bx = By.