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 mentionedThis question was addressed to me in quiz.The query is from Properties of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Let A be a nilpotent matrix of order n then?(a) A^n = O(b) nA = O(c) A

1.	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 mentionedThis question was addressed to me in quiz.The query is from Properties of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct option is (a) A^N = O Best EXPLANATION: n is the SMALLEST POSSIBLE number such that An = O.

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