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JEE Math Practice Question

If P = $$\left[ {\begin{matrix} {{{\sqrt 3 } \over 2}} & {{1 \over 2}} \\ { - {1 \over 2}} & {{{\sqrt 3 } \over 2}} \\ \end{matrix} } \right],A = \left[ {\begin{matrix} 1 & 1 \\ 0 & 1 \\ \end{matrix} } \right]\,\,\,$$ Q = PAPT, then PT Q2015 P is :

  1. A.$$\left[ {\begin{matrix} 0 & {2015} \\ 0 & 0 \\ \end{matrix} } \right]$$
  2. B.$$\left[ {\begin{matrix} {2015} & 1 \\ 0 & {2015} \\ \end{matrix} } \right]$$
  3. C.$$\left[ {\begin{matrix} {2015} & 0 \\ 1 & {2015} \\ \end{matrix} } \right]$$
  4. D.$$\left[ {\begin{matrix} 1 & {2015} \\ 0 & 1 \\ \end{matrix} } \right]$$

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