Examples
- Any bilinear map is a multilinear map. For example, any inner product on a vector space is a multilinear map, as is the cross product of vectors in .
- The determinant of a matrix is an antisymmetric multilinear function of the columns (or rows) of a square matrix.
- If is a Ck function, then the th derivative of at each point in its domain can be viewed as a symmetric -linear function .
- The tensor-to-vector projection in multilinear subspace learning is a multilinear map as well.
Read more about this topic: Multilinear Map
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