symmetric bilinear form

A symmetric bilinear form is a bilinear form $B$ which is symmetric in the two coordinates; 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 definite 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	AntiSymmetric
Related topic	QuadraticForm
Related topic	SkewSymmetricBilinearForm