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If \(A=\left[\begin{matrix}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha \end{matrix}\right]\) and \(A+{A}^{'}…

Q1

If \(A=\left[\begin{matrix}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha \end{matrix}\right]\) and \(A+{A}^{'}=I\), then the value of \(\alpha\) is

a

\(\frac{\pi }{6}\)

b

\(\frac{\pi }{3}\)

c

\(\pi\)

d

\(\frac{3\pi }{2}\)

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