Let $\ell$ be the vector field Lie algebra on $\mathbb{R}^{3}$ generated by the set $\{X,Y,Z\}$ where, $$X=y\frac{\partial}{\partial z}-z\frac{\partial}{\partial y},\ Y=z\frac{\partial}{\partial x}-x\frac{\partial}{\partial z} \quad \mbox{and} \quad Z=x\frac{\partial}{\partial y}-y\frac{\partial}{\partial x}.$$
I need to find a matrix Lie algebra which is isomorphic to $\ell$. I don't think any of the classical examples is useful in this case, any idea or any hint thanks in advanced.