Consider the following system

$\left[\begin{array}{cc}6& 2\\ 2& 4\end{array}\right]x^{}(1)+\left[\begin{array}{cc}3& -1\\ -1& 1\end{array}\right]x(1)=0$

If the initial conditions are $x(0)={\left[\begin{array}{cc}0& 0\end{array}\right]}^T$ and $x^{}(0)={\left[\begin{array}{cc}1& -1\end{array}\right]}^T,$ find the response.