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(a) Let A be an invertible nxn and suppose that A-1 = A. Prove that det(A) = -1 or det(A) = 1. (b) Let

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(a) Let A be an invertible nxn and suppose that A-1 = A. Prove that det(A) = -1 or det(A) = 1. (b) Let A be a square matrix such that A27A+8= 0 (where I and 0 are the identity matrix and the zero matrix, respectively). Show that det(A) 0.

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