\begin{definition}[Definition:Alternating Bilinear Form]
Let $\mathbb K$ be a field.
Let $V$ be a vector space over $\mathbb K$.
Let $b$ be a bilinear form on $V$.
Then $b$ is '''alternating''' {{iff}}:
: $\forall v \in V: b \left({v, v}\right) = 0$
\end{definition}