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Tensor product of vector spaces

Mathematical operation on vector spacesIn mathematics, the tensor productV⊗W{\displaystyle V\otimes W} of two vector spacesV{\displaystyle V} and W{\displaystyle W} (over the same field) is a vector space to which is associated a bilinear mapV×W→V⊗W{\displaystyle V\times W ightarrow V\otimes W} that maps a pair (v,w){\displaystyle (v,w)}, where v∈V,w∈W{\displaystyle v\in V,w\in W}, to an element of V⊗W{\displaystyle V\otimes W} denoted ⁠v⊗w{\displaystyle v\otimes w}⁠.

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