Question: Let A be in Mn (C) with k> n. Prove that there exists no B in Mnk (C) with AB = I. Let A

Let A be in Mn (C) with kn. Prove that there exists no B in Mnk (C) with AB = I. Let A be in Min (C) and B be

Let A be in Mn (C) with k> n. Prove that there exists no B in Mnk (C) with AB = I. Let A be in Min (C) and B be in M, (C). Give an example with k = n to show that rank(AB) need not equal rank (BA).

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