Answer
$B^{-1}AB=\left[\begin{array}{c c} 13/7& 4/7& 8/7\\ -8/7& -17/7&-6/7\\ 31/7&9/7&-10/7\end{array} \right]$
Work Step by Step
Using a graphing calculator (see attached picture), we get:
$B^{-1}AB=\left[\begin{array}{c c} 13/7& 4/7& 8/7\\ -8/7& -17/7&-6/7\\ 31/7&9/7&-10/7\end{array} \right]$