If \( A=\left[\begin{array}{cc}3 & -4 \\ 1 & -1\end{array}\right] \...

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If \( A=\left[\begin{array}{cc}3 & -4 \\ 1 & -1\end{array}\right] \), then for \( n \in N, A^{n} \) is equal to
\( \mathrm{P} \)
(A) \( \left[\begin{array}{cc}1+2 n & -4 n \\ n & 1-2 n\end{array}\right] \)
(B) \( \left[\begin{array}{cc}1-2 n & 4 n \\ n & 1+2 n\end{array}\right] \)
(C) \( \left[\begin{array}{cc}1+2 n & 4 n \\ -n & 1+2 n\end{array}\right] \)
(D) \( \left[\begin{array}{cc}1-2 n & -4 n \\ -n & -1+2 n\end{array}\right] \)
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