Multilinear alternating/V^2/u+2v/v+3w/Compute/Exercise

Let ${}K$ be a field, and let ${}V$ denote a ${}K$-vector space. Let

$\triangle \colon V\times V\longrightarrow K$

be a multilinear and alternating mapping. Let ${}u,v,w\in V$. Simplify

$\triangle {\begin{pmatrix}u+2v\\v+3w\end{pmatrix}}.$

Create a solution