I'm trying to re-write $v (u x)$ where $v$ and $u$ are row vectors and $x$ is a column vector as some expression $M x$ (or $\bar{v}x$, etc.). The motivation is because I'm trying to compute the gradient (and \nabla^{'}_x [ v (u x) ] \cdot x should yield a row vector).
Intuitively, since the expression $v (ux)$ can be re-written as
$[v_1 (ux), v_2(ux), \cdots, v_n(ux)]$
(where $v_i$ is a scalar), this quantity can be computed. However, doing this and substituting into a larger expression is pretty obnoxious and I'd like to do it using standard matrix operations (non element-wise) if possible.
I know this has something to do with tensors, but I don't understand how it all fits together. Any help is appreciated.