Multilinear alternating/V^3/u+v+w/2u+3z/4w-5z/Compute/Exercise

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

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

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

$\triangle {\begin{pmatrix}u+v+w\\2u+3z\\4w-5z\end{pmatrix}}.$

Create a solution