For systems that obey the ETH, equation (5.6.22) implies that \(\delta\langle Aangle_{t} \sim 1 / \sqrt{\Gamma}\) for almost all times. Show that if the set of coefficients \(\left\{c_{n}\right\}\) have a substantial overlap with one of the eigenvectors of the GOE random matrix \(\boldsymbol{R}\), then the initial value \(\delta\langle Aangle_{0}\) can be far from zero. Therefore the initial expectation value \(\langle Aangle_{0}\) can be far from the equilibrium value, while \(\langle Aangle_{t}\) is exponentially close to the equilibrium value for almost all other times.