If \( A=\left[\begin{array}{rr}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array...
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If \( A=\left[\begin{array}{rr}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right] \), then \( \lim _{n \rightarrow \infty} \frac{1}{n} A^{n} \) is
(A) a null matrix
(B) \( \left[\begin{array}{cc}0 & 1 \\ -1 & 0\end{array}\right] \)
(C) an identity matrix
(D) none of these
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