Let A=[1101] and P=⎡⎢⎢⎣cosπ6sinπ6−sinπ6cosπ6⎤⎥⎥⎦ – InterviewSolution

1.	Let A=[1101] and P=⎡⎢⎢⎣cosπ6sinπ6−sinπ6cosπ6⎤⎥⎥⎦ and Q=PAPT, then PTQ2021P is equal to
Answer» Let $A = [\begin{matrix} 1 & 1 0 & 1 \end{matrix}]$ and $P = ⎡ ⎢⎢ ⎣ \begin{matrix} cos \frac{π}{6} & sin \frac{π}{6} - sin \frac{π}{6} & cos \frac{π}{6} \end{matrix} ⎤ ⎥⎥ ⎦$ and $Q = P {A P}^{T},$ then $P^{T} Q^{2021} P$ is equal to

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