Let $P=\left[\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \ -\frac{1}{2} & \frac{\sqrt{3}}{2}\

Question

Let $P=\left[\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}ight], A=\left[\begin{array}{ll}1 & 1 \ 0 & 1\end{array}ight]$ and $Q=P A P^T$ if $P^T Q^{2024} P=\left[\begin{array}{ll}a & b \ c & d\end{array}ight]$, then

Professor PC Thomas Classes · Answer

Reversing similarity bounds cycles structurally mirroring primary coordinate scaling dictating exact values.