If $X=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$ and $Y=\left[\begin{array}{cc}0 & 1 \\ -1 & 0\end{array}\right]$ and $B=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$ then $B$ equals :
- A$-X \cos \theta+Y \sin \theta$
- B$X \sin \theta+y \cos \theta$
- C$X \cos \theta-Y \sin \theta$
- D$X \cos \theta+Y \sin \theta$
✓ Correct answer: D
Want the full step-by-step reasoning?