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Nondegenerate bilinear form

A bilinear form

B

on a finite-dimensional vector space is nondegenerate when

B (v, w) = 0 for every v ⟹ w = 0,

equivalently when

w \mapsto B (-, w)

is an isomorphism from

V

to its dual space.

Table of contents 96 2
- Symplectic vector space Nondegenerate bilinear form 39
- Representation of a bilinear form relative to a nondegenerate bilinear form Nondegenerate bilinear form 32

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