Outer product

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created: 2021-12-04 17:27:14
modified: 2022-01-10 04:13:03

The outer product_ of two coordinate vectors is a matrix. The vectors of dimension and produce an matrix.

Let's consider these vectors then:

Their outer product is denoted as and the product in matrix form is:

Or in index form:

An outer product of two vectors is an element of the tensor product of their vector spaces.