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If A = [(0, 0, 0), (0, 0, 0), (0, 1, 0)], then A is

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If A = [(0, 0, 0), (0, 0, 0), (0, 1, 0)], then A is

(A) An invertible matrix

(B) An idempotent matrix

(C) A nilpotent matrix

(D) None of these

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Answer is (C) A nilpotent matrix

 

Since A2 = 0, hence, A is a nilpotent matrix with index 2.

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