Question: Let A be an n Ã n matrix and let I be the n x n identity matrix. (a) If A2 = 0, verify that

Let A be an n Ã— n matrix and let I be the n x n identity matrix.
(a) If A2 = 0, verify that (1-A)-1 = I + A.
(b) If A3 = 0, verify that (1-A)-1 = I + A + A2
(c) Find the inverse of

(d) If A" = 0, find the formula for (I-A)-1

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