Chapter 6.4, Problem 26E

Illustrate the result of exercise 25 using the matrice

$A=\left[\begin{array}{ccc}1& 0& 0\\ 0& -2& 0\\ 0& 0& 3\end{array}\right]$, $B=\left[\begin{array}{ccc}11& 7& 10\\ 10& 8& 10\\ -18& -12& -17\end{array}\right]$

$P=\left[\begin{array}{ccc}-1& 1& 0\\ 2& 1& 2\\ 1& 1& 1\end{array}\right]$, $P^{-1}=\left[\begin{array}{ccc}-1& -1& 2\\ 0& -1& 2\\ 1& 2& -3\end{array}\right]$

where $B=P^{-1}AP$.