Definition:Orthogonal (Bilinear Form)/Radical
< Definition:Orthogonal (Bilinear Form)(Redirected from Definition:Radical of Bilinear Form)
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Definition
Let $\mathbb K$ be a field.
Let $V$ be a vector space over $\mathbb K$.
Let $b : V\times V \to \mathbb K$ be a reflexive bilinear form on $V$.
The radical of $V$ is the orthogonal complement of $V$:
- $\map {\operatorname {rad} } V = V^\perp$
Also see
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