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:

$\forall v, w \in V: \map b {v, w} = 0 \implies \map b {w, v} = 0$

Also see

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

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