In linear algebra, the **outer product** typically refers to the tensor product of two vectors. The result of applying the outer product to a pair of vectors is a matrix. The name contrasts with the inner product, which takes as input a pair of vectors and produces a scalar.

The outer product of vectors can be also regarded as a special case of the Kronecker product of matrices.

Some authors use the expression "outer product of tensors" as a synonym of "tensor product". The outer product is also a higher-order function in some computer programming languages such as APL and Mathematica.

Read more about Outer Product: Definition (matrix Multiplication), Definition (abstract), Applications

### Other articles related to "outer product, product":

**Outer Product**s

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**Outer Product**s

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**product**and

**outer product**are the simplest special cases of the matrix

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**outer product**is a row vector multiplied on the left by a column vector where Matrix

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**Outer Product**- Applications

... The outer product is useful in computing physical quantities (e.g ... the tensor of inertia), and performing transform operations in digital signal processing and digital image processing ...

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**product**... A+.×B Matrix

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### Famous quotes containing the words product and/or outer:

“These facts have always suggested to man the sublime creed that the world is not the *product* of manifold power, but of one will, of one mind; and that one mind is everywhere active, in each ray of the star, in each wavelet of the pool; and whatever opposes that will is everywhere balked and baffled, because things are made so, and not otherwise.”

—Ralph Waldo Emerson (1803–1882)

“After one look at this planet any visitor from *outer* space would say “I WANT TO SEE THE MANAGER.””

—William Burroughs (b. 1914)