Definition:Reflexive 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 reflexive if and only if:

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

Also see

• Definition:Alternating Bilinear Form
• Definition:Symmetric Bilinear Form
• Bilinear Form is Reflexive iff Symmetric or Alternating