: Mathématiques: multilinear form

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multilinear form

In abstract algebra and multilinear algebra, a multilinear form on a vector space ${\\displaystyle V}$ over a field ${\\displaystyle K}$ is a map
${\\displaystyle f\\colon V^{k}\ o K}$
that is separately ${\\displaystyle K}$ -linear in each of its ${\\displaystyle k}$ arguments. More generally, one can define multilinear forms on a module over a commutative ring. The rest of this article, however, will only consider multilinear forms on finite-dimensional vector spaces.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Multilinear_form)

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