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Cokernel

The cokernel of a linear mapping of vector spaces f : X → Y is the quotient space Y / im(f) of the codomain of f by the image of f. The dimension of the cokernel is called the corank of f.

Formal definition, Overview & Intuition

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Overview

Formal definition

Intuition

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Map overview Semantic statistics

Cokernel

Nodes51
Edges50
Triples10
Avg. degree1.96
Density0.039216
Components1

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Cokernel

Top relations

related to Formal definition · 4
Cokernel → Explicitly, In, One, The
is a · 2
Cokernel → quotient object of the codomain, space of constraints on w that must be satisfied if the equation is to have a solution
related to Intuition · 2
Cokernel → Formally, The
related to Examples · 1
Cokernel → In
related to Special cases · 1
Cokernel → In

Important terminology Word statistics

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Important terminology

category morphism kernel image quotient spaces groups must one linear normal space given solution map called homomorphism equation freedom vector

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cokernelis aquotient object of the codomain0.90text
Cokernelis aspace of constraints on w that must be satisfied if the equation is to have a solution0.90text
Cokernelrelated to ExamplesIn0.60section
Cokernelrelated to Formal definitionOne0.60section
Cokernelrelated to Formal definitionIn0.60section
Cokernelrelated to Formal definitionThe0.60section
Cokernelrelated to Formal definitionExplicitly0.60section
Cokernelrelated to IntuitionThe0.60section
Cokernelrelated to IntuitionFormally0.60section
Cokernelrelated to Special casesIn0.60section

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