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Corank

In mathematics, corank is complementary to the concept of the rank of a mathematical object, and may refer to the dimension of the left nullspace of a matrix, the dimension of the cokernel of a linear transformation of a vector space, or the number of elements of a matroid minus its rank.

Left nullspace of a matrix, Matroid & Cokernel of a linear transformation

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Left nullspace of a matrix

MatrixRankLeft nullspace
3 related topics

Matroid

Linear matroidsGraphic matroidsCircuit rank
3 related topics

Cokernel of a linear transformation

Linear transformationsCodomain
2 related topics

Overview

MathematicsNullspace of a matrixCokernelVector spaceMatroid
6 related topics

Topics to explore

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Overview

Left nullspace of a matrix

Cokernel of a linear transformation

Matroid

Advanced semantic analysis

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Map overview Semantic statistics

Corank

Nodes19
Edges18
Triples6
Avg. degree1.89
Density0.105263
Components1

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Corank

Top relations

related to Left nullspace of a matrix · 3
Corank → For, It, The
related to Matroid · 2
Corank → For, In
related to Cokernel of a linear transformation · 1
Corank → Generalizing

Important terminology Word statistics

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Important terminology

matrix cokernel rank linear matroid left nullspace transformation dimension displaystyle vector number elements mathematics nullity case matroids complementary concept mathematical

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Corankrelated to Cokernel of a linear transformationGeneralizing0.60section
Corankrelated to Left nullspace of a matrixThe0.60section
Corankrelated to Left nullspace of a matrixIt0.60section
Corankrelated to Left nullspace of a matrixFor0.60section
Corankrelated to MatroidFor0.60section
Corankrelated to MatroidIn0.60section

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