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Q)

If $A(\alpha) = \begin{bmatrix} \cos \alpha & \sin \alpha \\ -\sin \alpha & \cos \alpha \end{bmatrix}$, then $A(\alpha), \; A(\beta)$ is equal to :


( A ) $A(\alpha+ \beta)$
( B ) $A(\alpha)+A(\beta)$
( C ) $A(\alpha)-A(\beta)$
( D ) $A(\alpha-\beta)$

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