List of top Mathematics Questions on Matrix asked in AP EAPCET

If \[ \begin{bmatrix} 1 & -\tan\frac{\theta}{2}
[4pt] \tan\frac{\theta}{2} & 1 \end{bmatrix} \begin{bmatrix} 1 & \tan\frac{\theta}{2}
[4pt] -\tan\frac{\theta}{2} & 1 \end{bmatrix}^{-1} = ? \]

Let \[ G(x)= \begin{bmatrix} \cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1 \end{bmatrix}. \] If \(x+y=0\), then \(G(x)G(y)=\)