Let A=[2022], B=⎡⎢⎢⎣√7812√2−12√2√78⎤⎥⎥⎦ and – InterviewSolution

1.	Let A=[2022], B=⎡⎢⎢⎣√7812√2−12√2√78⎤⎥⎥⎦ and C=BTAB. If X=BC2015BT where X=[Xij] is a 2×2 matrix then, x11+x12+x21+x2222016 is
Answer» Let $A = [\begin{matrix} 2 & 0 2 & 2 \end{matrix}],$ $B = ⎡ ⎢⎢ ⎣ \begin{matrix} \sqrt{\frac{7}{8}} & \frac{1}{2 \sqrt{2}} \frac{- 1}{2 \sqrt{2}} & \sqrt{\frac{7}{8}} \end{matrix} ⎤ ⎥⎥ ⎦$ and $C = B^{T} A B .$ $I f X = B C^{2015} B^{T} w h e r e X = [X_{i j}]$ is a $2 \times 2$ matrix then, $\frac{x_{11} + x_{12} + x_{21} + x_{22}}{2^{2016}}$ is

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