Question: QUESTION 4 (6 marks) Let A be an n x n matrix and let I denote the n x n identity matrix. If A3 =

QUESTION 4 (6 marks) Let A be an n x n matrix and let I denote the n x n identity matrix. If A3 = 0, show that (I - A)(I + A + A2) = I. Explain why it follows that (I - A)- = I+A+A2. H 2 Use the above displayed equation to find the inverse of 0 3 0 0

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