11. Multilinear algebra can be developed in greater generality than for scalars coming from a ring.12. This can be mathematically seen through one aspect of tensors-they are multilinear functions. 13. Thus the components of the tensor product of multilinear forms can be computed by the Kronecker product. 14. In mathematics, "'multilinear algebra "'extends the methods of linear algebra. 15. Multilinear maps can be described via tensor products of elements of " V " ".16. When described as multilinear maps, the tensor product simply multiplies the two tensors, i . e. 17. Some constructions of multilinear algebra are of'mixed'variance, which prevents them from being functors. 18. Multilinear Subspace learning can be applied to observations whose measurements were vectorized and organized into a data tensor,19. A multilinear map of one variable is a linear map, and of two variables is a bilinear map. 20. If the codomain of a multilinear map is the field of scalars, it is called a multilinear form.
