If \[A=\left[ \begin{matrix} \cos \theta & \sin \theta \\ -\sin \theta & \cos \theta \\ \end{matrix} \right]\] then \[\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{n}{{A}^{n}}\] is

\[\left[ \begin{matrix} 0 & 1 \\ -1 & 0 \\ \end{matrix} \right]\]

If \[A=\left[ \begin{matrix} \cos \theta & \sin \theta \\ �

1.	If \[A=\left[ \begin{matrix} \cos \theta & \sin \theta \\ -\sin \theta & \cos \theta \\ \end{matrix} \right]\] then \[\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{n}{{A}^{n}}\] is
A.	A null matrix
B.	An identity matrix
C.	\[\left[ \begin{matrix} 0 & 1 \\ -1 & 0 \\ \end{matrix} \right]\]
D.	None of these
Answer» B. An identity matrix

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If \[A=\left[ \begin{matrix} \cos \theta & \sin \theta \\ -\sin \theta & \cos \theta \\ \end{matrix} \right]\] then \[\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{n}{{A}^{n}}\] is

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