If A=\left(\begin{array}{cc}1 & 2 \ 0 & 1)\end{array} P=\left(\begin{array}{cc}\cos \theta & \sin \\\\theta \ - \sin \\\\theta & \cos \theta)\end{array} \Q=\P^\T\AP, then \PQ^{2014} \P^\T is equal to

\left(\begin{array}{cc}1 & 2^{2014\end{array} ; 0 , 1)}

\left(\begin{array}{cc}1 & 4028 \ 0 & 1)\end{array}

(P^T) ^{2013} A^{2014} P^{2013}

COMEDK 2023 Shift 1 Paper

Question : 62 of 180

Marks: +1, -0

If A=(

1	2
0	1

)‌‌P=(

cos‌θ	sin‌θ
−sin‌θ	cos‌θ

)‌‌Q=PT‌AP,‌‌ then PQ2014PT is equal to

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