If $$I=1$$ $$00$$ $$1$$,$$J=01$$−$$10$$ and $$B=$$$$cos$$⁡θ$$sin$$⁡θ−$$sin$$⁡θ$$cos$$⁡θ then B equals

Correct option is 1(cos⁡θ)I+(sin⁡θ)J

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If $I = (\begin{array}{ll} 1 0 \\ 0 1 \end{array}), J = (\begin{array}{cc} 0 & 1 \\ - 1 & 0 \end{array})$ and $B = (\begin{array}{cc} \cos θ & \sin θ \\ - \sin θ & \cos θ \end{array})$ then B equals

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detailed solution

Correct option is A

B=(cos⁡θ)I+(sin⁡θ)J

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If I=1 00 1,J=01−10 and B=cos⁡θsin⁡θ−sin⁡θcos⁡θ then B equals

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If $I = (\begin{array}{ll} 1 0 \\ 0 1 \end{array}), J = (\begin{array}{cc} 0 & 1 \\ - 1 & 0 \end{array})$ and $B = (\begin{array}{cc} \cos θ & \sin θ \\ - \sin θ & \cos θ \end{array})$ then B equals