In
mathematics, the
tensor product, denoted by , may be applied in different contexts to
vectors,
matrices,
tensors,
vector spaces,
algebras,
topological vector spaces, and
modules, among many other structures or objects. In each case the significance of the symbol is the same: the freest
bilinear operation. In some contexts, this product is also referred to as
outer product. The general concept of a "tensor product" is captured by
monoidal categories; that is, the class of all things that have a tensor product is a monoidal category. The variant of is used in
control theory.