The tensor product of two vector spaces V and W, denoted V⊗W and also called the tensor direct product, is a way of creating a new vector space analogous to multiplication of integers. For instance, R^n ⊗R^k ≅R^(n k). In particular, r⊗R^n ≅R^n. Also, the tensor product obeys a distributive law with the direct sum operation: U⊗(V⊕W)≅(U⊗V)⊕(U⊗W).

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