Chapter 3.2, Problem 8EQ

In Exercises 5-8, write B as a linear combination of the other matrices, if possible.

$B=\left[\begin{array}{ccc}2& -2& 3\\ 0& 0& -2\\ 0& 0& 2\end{array}\right],A_1=\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right],$

$A_2=\left[\begin{array}{ccc}0& 1& 1\\ 0& 0& 1\\ 0& 0& 0\end{array}\right],A_3=\left[\begin{array}{ccc}-1& 0& -1\\ 0& 1& 0\\ 0& 0& -1\end{array}\right],$

$A_4=\left[\begin{array}{ccc}1& -1& 1\\ 0& -1& -1\\ 0& 0& 1\end{array}\right]$