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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- October 26th 2008, 06:54 PMleungstaInvertibility & Isomorphism
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. - October 26th 2008, 09:08 PMThePerfectHacker