Definition:Alternating Bilinear Form

Definition
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 :
 * $\forall v \in V: b \left({v, v}\right) = 0$

Also see

 * Definition:Reflexive Bilinear Form
 * Definition:Symmetric Bilinear Form
 * Definition:Alternating Bilinear Mapping