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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
.