Consider the system

x $=$ Aix, $(4)$

where

A$1=$

$01$

$34$

$,$ A$2=$

$12$

$21$

$.(5)$

For both systems, generate $20$ random initial conditions using the Matlab function randn. For each initial

condition, compute x$($t$)$ for $10$ seconds and plot x$($t$)$ on a phase$-$plot, that is$,$ plot x$2($t$)$ vs x$1($t$).$ Use the

matrix exponential to compute x$($t$).$ Can you do it in Matlab?