Tensor product of linear maps ↩

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created: 2021-12-04 17:49:27
modified: 2022-01-10 04:13:04

Let

and

be linear maps between vector spaces. The tensor product of the two linear maps

and

is a linear map

This linear map is defined by:

Where between vector spaces is the tensor product of vector spaces and between vectors is the outer product.

By choosing bases of all vector spaces involved, the linear maps and can be represented by matrices. Then the matrix describing the tensor product is the Kronecker product of the two matrices.

Tensor product of linear maps ↩

See also