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Let A be a nilpotent matrix of order n then?

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Let A be a nilpotent matrix of order n then?

(a) A^n = O

(b) nA = O

(c) A = nI, I is Identity matrix

(d) None of the mentioned

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The query is from Properties of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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The correct option is (a) A^n = O

Best explanation: n is the smallest possible number such that An = O.

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