non-degenerate bilinear form

A bilinear form $B$ over a vector space $V$ is said to be non-degenerate when

• if $B(𝐱,𝐲)=0$ for all $𝐱\in V$, then $𝐲=\mathrm{𝟎}$, and

• if $B(𝐱,𝐲)=0$ for all $𝐲\in V$, then $𝐱=\mathrm{𝟎}$.

Title	non-degenerate bilinear form
Canonical name	NondegenerateBilinearForm
Date of creation	2013-03-22 12:25:56
Last modified on	2013-03-22 12:25:56
Owner	djao (24)
Last modified by	djao (24)
Numerical id	5
Author	djao (24)
Entry type	Definition
Classification	msc 47A07
Classification	msc 15A63
Classification	msc 11E39
Synonym	non-degenerate form
Synonym	nondegenerate bilinear form
Synonym	nondegenerate form
Synonym	non-degenerate
Synonym	nondegenerate