(a) Show that if X = AX + D, then X = (I A) 1D provided that I A is invertible. (b)

Chapter 9, Problem 52

(choose chapter or problem)

(a) Show that if X = AX + D, then X = (I A) 1D provided that I A is invertible. (b) Suppose that A = _ 3 2 0 1 _ and D = _ 2 2 _ Compute (I A) 1, and use your result in (a) to compute X.

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