数学试题讲解

已知

P^{- 1} A P = B

, 其中

P = (\begin{array}{cc} - 1 & - 4 \\ 1 & 1 \end{array}), P^{- 1} = \frac{1}{3} (\begin{array}{cc} 1 & 4 \\ - 1 & - 1 \end{array}), B = (\begin{array}{cc} - 1 & 0 \\ 0 & 2 \end{array})

, 求

A^{11}