engineering recuitment NIMCET Previous Year Papers Mock Test Mathematics Matrices Operations on Matrices
If \(\rm A= \begin{bmatrix}\ \ \ \cos\alpha & \sin \alpha \\ -\sin \alpha & \cos \alpha \end{bmatrix}\), then for any positive integer n, An is:
1
\(\rm \begin{bmatrix} \rm \sin n\alpha & \ \ \ \rm \cos n\alpha \\ \rm \cos n\alpha & \rm -\sin n\alpha \end{bmatrix}\)
2
\(\rm \begin{bmatrix} \rm \cos n\alpha & \rm \sin n\alpha \\ \rm \sin n\alpha & \rm \cos n\alpha \end{bmatrix}\)
3
\(\rm \begin{bmatrix} \rm \cos n\alpha & \ \ \ \rm \sin n\alpha \\ \rm \sin n\alpha & \rm -\cos n\alpha \end{bmatrix}\)
4
\(\rm \begin{bmatrix} \ \ \ \rm \cos n\alpha & \rm \sin n\alpha \\ \rm- \sin n\alpha & \rm \cos n\alpha \end{bmatrix}\)