Let A be an n x n matrix. a) Suppose that A^2 = O. Prove that A is not invertible b) Suppose that AB = O for some nonzero n x n matrix B. Could A be invertible? Explain.
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Originally Posted by leungsta a) Suppose that A^2 = O. Prove that A is not invertible If a contradiction. b) Suppose that AB = O for some nonzero n x n matrix B. Could A be invertible? Explain. If is invertible then a contradiction.
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