Question
माना $\mathrm{P}=\left[\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right], \mathrm{A}=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right]$ तथा $\mathrm{Q}=\mathrm{PQP}^{\mathrm{T}}$ हैं। यदि $\mathrm{P}^{\mathrm{T}} \mathrm{Q}^{2007} \mathrm{P}=\left[\begin{array}{ll}\mathrm{a} & \mathrm{b} \\ \mathrm{c} & \mathrm{d}\end{array}\right]$, तो $2 \mathrm{a}+\mathrm{b}-3 \mathrm{c}-4 \mathrm{~d}$ बराबर है