Find x in [0, π/2] satisfying A + A' equals a scalar multiple of I for rotation matrix A

CBSE Class 12 · Mathematics · Matrices · similar questions asked in 2 years (2023, 2026)

Q1 2023 1 mark

For what value of $x \in \left[0, \dfrac{\pi}{2}\right]$, is $A + A' = \sqrt{3}\, I$, where…
Q2 2026 1 mark

If A = $\begin{bmatrix}\cos x & -\sin x\\ \sin x & \cos x\end{bmatrix}$ and A + A' = I, then the value of…