JEE MAIN - Mathematics Hindi (2016 - 9th April Morning Slot - No. 6)
यदि $$\mathrm{P}=\left[\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right], \mathrm{A}=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right]$$ तथा $$\mathrm{Q}=\mathrm{PAP}^{\mathrm{T}}$$ है, तो $$\mathrm{P}^{\mathrm{T}} \mathrm{Q}^{2015} \mathrm{P}$$ है :
$$\left[\begin{array}{cc}0 & 2015 \\ 0 & 0\end{array}\right]$$
$$\left[\begin{array}{cc}2015 & 1 \\ 0 & 2015\end{array}\right]$$
$$\left[\begin{array}{cc}2015 & 0 \\ 1 & 2015\end{array}\right]$$
$$\left[\begin{array}{cc}1 & 2015 \\ 0 & 1\end{array}\right]$$
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