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$A = [\begin{array}{ccc} 1 & 2 & 3 \\ 1 & 2 & 3 \\ - 1 & - 2 & - 3 \end{array}]$ , then A is a nilpotent matrix of index

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Correct option is A

A2=123123−1−2−3123123−1−23=000000000∴ A is a nilpotent matrix of index 2

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A=123123−1−2−3, then A is a nilpotent matrix of index

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$A = [\begin{array}{ccc} 1 & 2 & 3 \\ 1 & 2 & 3 \\ - 1 & - 2 & - 3 \end{array}]$ , then A is a nilpotent matrix of index