Explore: Multilinear Algebra

Multilinear algebra is the study of functions with multiple vector-valued arguments, with the functions being linear maps with respect to each argument

complex Multilinear algebra Symmetric algebra, the symmetric analog Tensor algebra Weyl algebra, a quantum deformation of the symmetric algebra by a symplectic

linear algebra, a multilinear map is a function of several variables that is linear separately in each variable. More precisely, a multilinear map is

for manipulations of tensors arise as an extension of linear algebra to multilinear algebra. In differential geometry, an intrinsic[definition needed] geometric

the Cauchy–Binet formula. A more systematic, algebraic treatment of minors is given in multilinear algebra, using the wedge product: the k-minors of a

Clifford algebras and spinors. Cambridge: Cambridge University Press. pp. 193. ISBN 978-0-521-00551-7. Greub, W. (1978). Multilinear Algebra. Hogben,

In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects associated with a vector space

In mathematics, more specifically in multilinear algebra, an alternating multilinear map is a multilinear map with all arguments belonging to the same

theory, denotes the meet or greatest lower bound operation. 3.  In multilinear algebra, geometry, and multivariable calculus, denotes the wedge product

groups to trace diagrams in linear algebra. In the language of multilinear algebra, each shape represents a multilinear function. The lines attached to shapes