Chapter 6.3, Problem 22P

For each of the matrices in Problems $18$ through $23$, use a computer to assist in finding a fundamental set of solutions to the system $\text{x}\text{'}=\text{Ax}$.

$\text{A=}\left(\begin{array}{ccccc}-5& -2& -1& 2& 3\\ 0& -3& 0& 0& 0\\ 1& 0& -1& 0& -1\\ 2& 1& 0& -4& -2\\ -3& -2& -1& 2& 1\end{array}\right)$