Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If $A=\left[\begin{array}{cc}\sin \alpha & -\cos \alpha \\ \cos \alpha & \sin \alpha\end{array}\right]$, and $A+A'=I$, then the value of '$\alpha$' is:

Options:

$\frac{\pi}{4}$

$\frac{\pi}{3}$

$\frac{\pi}{6}$

$\frac{\pi}{2}$

Correct Answer:

$\frac{\pi}{6}$

Explanation:

The correct answer is Option (3) → $\frac{\pi}{6}$