Bilinear form
id:
bilinear-form-215-2233678
title:
Bilinear form
text:
In mathematics, a bilinear form is a bilinear map V × V → K on a vector space V over a field K. In other words, a bilinear form is a function B : V × V → K that is linear in each argument separately:
- B(u + v, w) = B(u, w) + B(v, w) and B(λu, v) = λB(u, v)
- B(u, v + w) = B(u, v) + B(u, w) and B(u, λv) = λB(u, v) The dot product on R n is an example of a bilinear form. The definition of a bilinear form can be extended to include modules over a ring, with linear maps replaced
brand slug:
wiki
category slug:
encyclopedia
description:
Scalar-valued bilinear function
original url:
https://en.wikipedia.org/wiki/Bilinear_form
date created:
2004-01-31T18:47:27Z
date modified:
2024-09-12T18:08:33Z
main entity:
{"identifier":"Q837924","url":"https://www.wikidata.org/entity/Q837924"}
image:
fields total:
13
integrity:
15