If \( I=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right], J=\left[\begin{array}{c...
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If \( I=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right], J=\left[\begin{array}{cc}0 & 1 \\ -1 & 0\end{array}\right] \) and \( B=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right] \) then \( \mathrm{B}= \)
(1) I \( \cos \theta+J \sin \theta \)
(2) I \( \cos \theta-J \sin \theta \)
(3) \( I \sin \theta+J \cos \theta \)
(4) \( -I \cos \theta+J \sin \theta \)
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