α and ω possible limit sets of points 
*

*What are all the $α$ and $ω$ possible limit sets of points for:


$$A=\begin{pmatrix}-4&-2\\3&-11 \end{pmatrix}.$$
I am not really sure what to do..
$$\dot{x}=\begin{pmatrix}-4&-2\\3&-11 \end{pmatrix}x$$

The eigenvalues of $A$ are $-5$ and $-10$, both negative, hence:


*

*For every "initial" condition $x(0)$, $x(t)\to0$ when $t\to+\infty$

*For every "initial" condition $x(0)\ne0$, $\|x(t)\|\to+\infty$ when $t\to-\infty$

