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Outer product

In linear algebra, the outer product of two coordinate vectors is the matrix whose entries are all products of an element in the first vector with an element in the second vector. If the two coordinate vectors have dimensions m and n, then their outer product is an m × n matrix. More generally, given two tensors (multidimensional arrays of numbers)…

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Definition

Properties

Definition (abstract)

In programming languages

Applications

Products

Duality

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Map overview Semantic statistics

Outer product

Nodes64
Edges63
Triples68
Avg. degree1.97
Density0.03125
Components1

How this topic connects Entity context

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Outer product

Top relations

related to Further reading · 11
Outer product → Beginning, Canceicao Carvalho, Carlen, Eric, From, ISBN, Linear Algebra, Macmillan, Maria, Orthogonal Projections, Outer Products
related to In programming languages · 10
Outer product → AandB, APL, In, In MATLAB, Mathematica, NumPy, Python, The, These, This
related to Spinors · 8
Outer product → C2, Cartan, In, Pauli, Suppose, The, Then, Wolfgang Pauli
related to Contrast with Euclidean inner product · 6
Outer product → Euclidean, If, Multiplication, The, This, Unlike
related to Concepts · 4
Outer product → Concept, The, This, When
related to Connection with the Kronecker product · 4
Outer product → If, Kron, Kronecker, The
related to Connection with the matrix product · 4
Outer product → Given, Now, Then, This
related to Definition · 4
Outer product → Given, Or, The, This
related to Definition (abstract) · 4
Outer product → If, In, Let, The
related to Rank of an outer product · 4
Outer product → If, Indeed, Matrix, Thus

Important terminology Word statistics

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Important terminology

product outer matrix displaystyle mathbf vectors two otimes vector products tensors rank given matrices inner column begin end right case

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Outer productis atensor0.90text
Outer producthas applicationAs0.60section
Outer producthas applicationKronecker0.60section
Outer producthas applicationThese0.60section
Outer productrelated to ConceptsThe0.60section
Outer productrelated to ConceptsConcept0.60section
Outer productrelated to ConceptsWhen0.60section
Outer productrelated to ConceptsThis0.60section
Outer productrelated to Connection with the Kronecker productThe0.60section
Outer productrelated to Connection with the Kronecker productKronecker0.60section
Outer productrelated to Connection with the Kronecker productIf0.60section
Outer productrelated to Connection with the Kronecker productKron0.60section

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