Solved: Prove thaI if AI = 0 for some positive integer k [i.e .. if A is a nilpolelll

Chapter 7, Problem 23

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Prove thaI if AI = 0 for some positive integer k [i.e .. if A is a nilpolelll malmt (see Supplemental)' Exercise 22 in Chapler 1)1. Ihen 0 is the only cigenvalue of A. (Hint: Use Excrci~e 21.)

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