Definition:Associated Quadratic 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 bilinear form.
The quadratic form associated to $b$ is the quadratic form:
- $q : V \to \mathbb K : x \mapsto \map b {x, x}$
Also see
- Associated Quadratic Form is Quadratic Form
- Definition:Associated Bilinear Form
- Matrix of Associated Quadratic Form
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