If $A=\left[\begin{array}{ll}1 & 1 \ 0 & 1\end{array} ight]$ and $B=\left[\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array} ight]$, then $\left(B B^T A ight)^5$ is equal to

Question

If $A=\left[\begin{array}{ll}1 & 1 \ 0 & 1\end{array}ight]$ and $B=\left[\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}ight]$, then $\left(B B^T Aight)^5$ is equal to

Accepted Answer

Correct answer: C

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