I have a dynamic system and initial condition is $\displaystyle u(0)=\left(\begin{array}{ccc}1&2&3\end{array}\righ t)$

System goes like this

$\displaystyle u(k+1)=A.u(k)$

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

What happens if;

$\displaystyle \lim_{k\to\infty}u(k)=$