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2. Suppose that A is an m x n matrix. (a) What condition on rank(A) is necessary and sufficient for A to have a right

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2. Suppose that A is an m x n matrix. (a) What condition on rank(A) is necessary and sufficient for A to have a right inverse? A right inverse is an n x m matrix B such that AB = Im. Explain. (b) Assuming A satisfies the conditions in (2a) how would you find a right inverse of A? Explain. (c) Is the right inverse unique? Explain. (d) Find a right inverse for 7 -5 - A = OO OO 2

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