Given the following expression:
$$ \vec w = (\mathbf M\cdot\vec u) + (\vec v\cdot\vec u) $$
Where $\mathbf M$ is a matrix of dimension $n\times m$, $\vec v$ and $\vec u$ are vectors of dimension $m$, and $\vec w$ is a vector of dimension $n$. Is there a way to apply the distributive property such that we can say
$$ \vec w = \mathbf X\cdot\vec u $$
Where $\mathbf X$ is a matrix (or maybe something else)?