\text { For each of the following, let } A=E \Lambda E^{-1} \text {and compute } A^{20} \text { 1. } E=\left[\begin{array}{ll} 5 & 7 \\ 2 & 3 \end{array}\right],

\Lambda=\left[\begin{array}{rr} 2 & 0 \\ 0 & -.5 \end{array}\right] \text { 2. } E=\left[\begin{array}{rr} 2 & -4 \\ -2 & 6 \end{array}\right], \Lambda=\left[\begin{array}{cc} 0.2 & 0 \\ 0 & 1 \end{array}\right]