abstract: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.
In the shape of generalexterioralgebra, itbecameabeneficiary of the Bourbaki presentation of multilinear algebra, and from 1950 onwardshas beenubiquitous.