non-degenerate bilinear form

A bilinear formPlanetmathPlanetmath B over a vector spaceMathworldPlanetmath V is said to be non-degenerate when

  • if B(𝐱,𝐲)=0 for all 𝐱V, then 𝐲=𝟎, and

  • if B(𝐱,𝐲)=0 for all 𝐲V, then 𝐱=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