Determine if the following is a valid argument. Explain your conclusion.
Prove: If A and B are matrices such that AB = 0, then either A = 0 or B = 0.
Proof: There are two cases to consider: A = 0 or A ≠ 0. If A = 0, then we are done. If A ≠ 0, then A-1 (AB) = A-10 and (A-1A)B = 0 and B = 0.
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