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Class 12 Matrices · Mcq Single Correct1 Markstranspose_operations

Class 12 Maths · Matrices · Mcq Single Correct #2

Let A=\(\begin{bmatrix}\cos\alpha & -\sin\alpha\\\sin\alpha & \cos\alpha\end{bmatrix}\). Which listed value of α satisfies A+Aᵀ=I₂?

(A) \(\pi/6\)
(B) \(\pi/3\)
(C) \(\pi\)
(D) \(3\pi/2\)

✅ Step-by-Step Solution

Final Answer: Option (B): \(\pi/3\)

A+Aᵀ=2cosα I₂. Therefore cosα=1/2, and among the listed values only π/3 qualifies.

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