Question
If $f(\alpha)=A=\left[\begin{array}{ccc}\cos \alpha & -\sin \alpha & 0 \\ \sin \alpha & \cos \alpha & 0 \\ 0 & 0 & 1\end{array}\right]$, find
if(-α)
(ii)f(-α) + f(α)if(-α)
(ii)f(-α) + f(α)$\therefore \quad f(-\alpha)=\left[\begin{array}{ccc}\cos (-\alpha) & -\sin (-\alpha) & 0 \\ \sin (-\alpha) & \cos (-\alpha) & 0 \\ 0 & 0 & 1\end{array}\right]$
$\therefore \quad \mathrm{f}(-\alpha)=\left|\begin{array}{ccc}\cos \alpha & \sin \alpha & 0 \\ -\sin \alpha & \cos \alpha & 0 \\ 0 & 0 & 1\end{array}\right|$
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