symmetric bilinear form

A symmetric bilinear formMathworldPlanetmath is a bilinear formPlanetmathPlanetmath B which is symmetricPlanetmathPlanetmath in the two coordinatesPlanetmathPlanetmath; that is, B(x,y)=B(y,x) for all vectors x and y.

Every inner product over a real vector space is a positive definitePlanetmathPlanetmath symmetric bilinear form.

Title symmetric bilinear form
Canonical name SymmetricBilinearForm
Date of creation 2013-03-22 12:25:45
Last modified on 2013-03-22 12:25:45
Owner djao (24)
Last modified by djao (24)
Numerical id 5
Author djao (24)
Entry type Definition
Classification msc 11E39
Classification msc 15A63
Classification msc 47A07
Synonym symmetric form
Related topic AntiSymmetricMathworldPlanetmath
Related topic QuadraticForm
Related topic SkewSymmetricBilinearForm