Practicing Success
Practicing Success
CUET Preparation Today
| If $ A= \begin{bmatrix} \cos2\alpha & -\sin2\alpha\\ \sin2\alpha & \cos2\alpha\\ \end{bmatrix}$ and $A+A^{t}=I$. Find the value of $\alpha$. Here $I$ denotes the $2*2$ identity matrix |
$\pi/6$ $\pi/3$ $\pi/4$ $\pi/2$ |
| $\pi/6$ |
| Solving the matrix equation $A+A^{t}=I$ we get $2\cos2\alpha=1$. Hence $\alpha=\pi/6$ |
