Question: [3 marks] Suppose A = PHI1 where P is an invertible matrix and A; 0 0 D = . . _ . 1s a diagonal

[3 marks] Suppose A = PHI"1 where P is an invertible matrix and A; 0 0 D = . . _ . 1s a diagonal matrix sneh that PHI cc: 1 for all [1 0 A\" i=1,...,.n. Find I+A+A2+A3+---. Leave your answer in terms of P and )q, i = 1, ...,n

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