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 Algebra: Origin, Use in Algebraic Topology, Conclusion On The Abstract Approach, Topics in Multilinear Algebra, From The Point of View of Applications

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**Multilinear Algebra**- From The Point of View of Applications

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Penrose Graphical Notation - Interpretations -

... 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 ...

**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 -

... of tensors Intermediate treatment of tensors Component-free treatment of tensors Tensor

**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

... 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 ...### Famous quotes containing the word algebra:

“Poetry has become the higher *algebra* of metaphors.”

—José Ortega Y Gasset (1883–1955)

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