List of top Mathematics Questions on types of matrices asked in MHT CET

If \[ A= \begin{bmatrix} \sin\alpha & -\cos\alpha \cos\alpha & \sin\alpha \end{bmatrix} \] and \( \alpha\in\left(\frac{\pi}{2},\frac{3\pi}{2}\right) \). If \( A+A^T=I \), then \( \alpha= \)

If \( A=\begin{bmatrix}\sec\theta & -\tan\theta-\tan\theta & \sec\theta\end{bmatrix} \) and \( A+\operatorname{adj}A=4I \), then find the value of \( \theta \).