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 $b(v,v) = 0$ for all $v\in V$.

Also see

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