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(mathematics) The most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗.

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tensor product

noun

(mathematics) The most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗.

The tensor product of two vectors is a tensor.

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(mathematics) The most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗.

Linear Transformations on Tensor Products of Vector Spaces

…

Proposition 16. Let V and W be finite dimensional vector spaces over the field F with bases v_1,...,v_n and w_1,...,w_m respectively. Then V⊗_FW is a vector space over F of dimension nm with basis v_i⊗w_j, 1<i<n and 1<j<m.

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tensor product

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