If A= [ cc & - & ] then prove that A^n= [ cc n & n - n & n ], n N… - Vidyadip

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If $A=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$ then prove that $A^n=\left[\begin{array}{cc}\cos n \theta & \sin n \theta \\ -\sin n \theta & \cos n \theta\end{array}\right], n \in N$.

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