defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Matrices Operations on Matrices
If \(\rm A = \begin{bmatrix}0&-\tan \frac{\alpha}{2}\\\ \tan \frac{\alpha}{2}&0\end{bmatrix}\) and I is identity matrix of order 2, then –
1
\(\rm I+A=(I-A)\begin{bmatrix}\cos \alpha& \sin \alpha\\\ -\sin \alpha&\cos \alpha\end{bmatrix}\)
2
\(\rm I-A=(I+A)\begin{bmatrix}\cos \alpha& -\sin \alpha\\\ -\sin \alpha&\cos \alpha\end{bmatrix}\)
3
\(\rm I+A=(I-A)\begin{bmatrix}\cos \alpha& -\sin \alpha\\\ \sin \alpha&\cos \alpha\end{bmatrix}\)
4
None of these