Question: Let A be an n n matrix. Is it possible for A2 + I = O in the case where n is odd? Answer

Let A be an n × n matrix. Is it possible for A2 + I = O in the case where n is odd? Answer the same question in the case where n is even.

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Since detA 2 detA 2 it follows that detA 2 must be a nonnegative real number ... View full answer

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