estion 2. Let A be an n x n matrix with real entries such that AT = -A. a) If n is odd, prove that A is non-invertible. >) Suppose that A - XI is non-invertible for some A E C. Prove that A+ In is non-invertible. c) Suppose that B is a matrix such that A = CBC-¹ for some invertible matrix C. Compute IM³ Bi,i.

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