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Suppose that A is an m×n matrix and let min(m, n) denote the minimum of m

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Suppose that A is an m×n matrix and let min(m, n) denote the minimum of m and n. Prove that r (A)min(m, n). (If m and n are two numbers, then min(m, n) stands for the number that is the smaller of the two. For example min(4, 6) = 4.)

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