# symmetric bilinear form

A 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