If A = bmatrix & - & 0 & & 0 0 & 0 & 1 bmatrix and A^2 = bmatrix 2 & - 2 & 0 2 & 2 & 0 0…
Mathematics · Class 12 · CBSE — Matrices
If \(A = \begin{bmatrix} \cos\theta & -\sin\theta & 0 \\ \sin\theta & \cos\theta & 0 \\ 0 & 0 & 1 \end{bmatrix}\) and \(A^2 = \begin{bmatrix} \sin 2\theta & -\sin 2\theta & 0 \\ \sin 2\theta & \sin 2\theta & 0 \\ 0 & 0 & 1 \end{bmatrix}\), then \(\theta = \)
- \(\frac{\pi}{2}\)
- \(\frac{\pi}{4}\)
- \(\frac{\pi}{8}\)
- \(\frac{\pi}{6}\)
Answer
(C) 8
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