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10. Given two matrices A and B, 1 0 3 0 1 1 2 5 1 1 2 3 A: 0 1 0 B: 3

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10. Given two matrices A and B, 1 0 3 0 1 1 2 5 1 1 2 3 A: 0 1 0 B: 3 0 3 1 2 1 1 1 2 (a) What is rank(A)? (b) What is rank(B)? (c) What is rank(3A)? (d) What is the maximum possible rank of ABT given the ranks of A and B? Do not actually compute rank(ABT)

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