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Multilinear map

In linear algebra, a multilinear map is a mathematical function of several vector variables that is linear in each variable.

Some examples:

Inner product (dot product) is a symmetric bilinear function of two vector variables,
Determinant is a skew-symmetric multilinear function of the columns (or rows) of a square matrix.

General discussion of where this leads is at multilinear algebra.

Referenced By

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Multilinear map".