Question: (a Consider a square matrix X such that (X - I)2 = 0. Show that X is invertible, and give its inverse in terms of

(a Consider a square matrix X such that (X - I)2 = 0. Show that X is invertible, and give its inverse in terms of X. (b) Suppose that A, B, Y are invertible matrices of the same size. If (ARYB-2)T _ B-lAT. find Y in terms of A and B, simplifying your answer where possible. Show all your steps

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