$$
\text { If } A=\left[\begin{array}{cc}
\cos \theta & i \sin \theta \\
i \sin \theta & \cos \theta
\end{array}\right],\left(\theta=\frac{\pi}{24}\right) \text { and } A^5=\left[\begin{array}{ll}
a & b \\
c & d
\end{array}\right],
$$
where $\mathrm{i}=\sqrt{-1}$, then which one of the following is not true?
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