Chapter 9.6, Problem 14E

In Problems 13 and 14, find the solution to the given system that satisfies the given initial condition.

$x^{\prime }\left(t\right)=\left[\begin{array}{ccc}1& 0& -1\\ 0& 2& 0\\ 1& 0& 1\end{array}\right]x\left(t\right)$,

a. $x\left(0\right)=\left[\begin{array}{c}-2\\ 2\\ -1\end{array}\right]$

b. $x\left(-\pi \right)=\left[\begin{array}{c}0\\ 1\\ 1\end{array}\right]$