 Multilinear form

A **multilinear form** is a mathematical function that generalizes the concept of linear functions to several variables. Specifically, a multilinear form is a function that takes multiple vector inputs and is linear in each of those inputs.

See form.

Analogous to a linear form, a multilinear form is a Multilinear map where the image is the underlying field of the vector space, e.g. ${\mathbb{R}}^{n_1}\times {\mathbb{R}}^{n_2}\times {\mathbb{R}}^{n_2}\to \mathbb{R}$.