If and I is the identity matrix of order 2

MATHEMATICS · Subjective · CBSE · Mathematics · Matrices · Matrices

Problem

18. If A=[0−tan⁡α2tan⁡α20]\mathrm{A}=\left[\begin{array}{cc}0 & -\tan \frac{\alpha}{2} \\ \tan \frac{\alpha}{2} & 0\end{array}\right] and I is the identity matrix of order 2 , show that I+A=(I−A)[cos⁡α−sin⁡αsin⁡αcos⁡α]I+A=(I-A)\left[\begin{array}{cc}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha\end{array}\right]

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