If , then is true…

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

If A=[cos⁡θsin⁡θ−sin⁡θcos⁡θ]A=\begin{bmatrix}\cos\theta & \sin\theta\\-\sin\theta & \cos\theta\end{bmatrix}, then A2=IA^2=I is true for (1) θ=0\theta=0 (2) θ=π4\theta=\frac{\pi}{4} (3) θ=π2\theta=\frac{\pi}{2} (4) None of these

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