Bilinear form

Scalar-valued bilinear function

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)

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