Multilinear map

From Wacklepedia - The Free Encyclopedia

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.