Multilinear Algebra

In mathematics, multilinear algebra extends the methods of linear algebra. Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces, multilinear algebra builds on the concepts of p-vectors and multivectors with Grassmann algebra.

Read more about Multilinear AlgebraOrigin, Use in Algebraic Topology, Conclusion On The Abstract Approach, Topics in Multilinear Algebra, From The Point of View of Applications

Other articles related to "multilinear algebra, algebra":

Multilinear Algebra - From The Point of View of Applications
... Some of the ways in which multilinear algebra concepts are applied classical treatment of tensors dyadic tensor bra-ket notation geometric algebra Clifford algebra pseudoscalar pseudovector ...
Penrose Graphical Notation - Interpretations - Multilinear Algebra
... In the language of multilinear algebra, each shape represents a multilinear function ... The lines attached to shapes represent the inputs or outputs of a function, and attaching shapes together in some way is essentially the composition of functions ...
List Of Linear Algebra Topics - Multilinear Algebra
... of tensors Intermediate treatment of tensors Component-free treatment of tensors Tensor algebra Exterior algebra Symmetric algebra Clifford algebra Geometric ...
Covariance And Contravariance Of Vectors
... Tensors Glossary of tensor theory Scope Mathematics Coordinate system Multilinear algebra Euclidean geometry Differential geometry Exterior calculus Physics and engineering Continuum mechanics ... The use of both terms in the modern context of multilinear algebra is a specific example of corresponding notions in category theory ...

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