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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
by answerhappygod
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 1
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 1 (15.52 KiB) Viewed 120 times
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 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.