If $$X=3-41-1$$, the value of Xn is

Correct option is 4None of these

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If $X = [\begin{matrix} 3 & - 4 \\ 1 & - 1 \end{matrix}]$ , the value of Xⁿ is

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3n-4nn-n

2+n5-nn-n

3n-4n1n-1n

None of these

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detailed solution

Correct option is D

We have, X2=X×X=3-41-13-41-1=5-82-3For n = 2, matrices in (A), (B) and (C) do not match with 5-82-3

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If X=3-41-1, the value of Xn is

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If $X = [\begin{matrix} 3 & - 4 \\ 1 & - 1 \end{matrix}]$ , the value of Xⁿ is