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Singular matrix

A singular matrix is a square matrix that is not invertible, unlike non-singular matrices which are invertible. Equivalently, an n {\displaystyle n} -by- n {\displaystyle n} matrix A {\displaystyle A} is singular if and only if determinant, det ( A ) = 0 {\displaystyle \det(A)=0} . In classical linear algebra, a matrix is called non-singular (or…

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Applications

JacobianKinematicRobotic manipulatorLaplacian matrixMachine learning
15 related topics

History

Linear algebraSekiLeibnizLaplaceCauchy
9 related topics

Computational implications

Gaussian elimination
1 related topics

Overview

Square matrixInvertibleDeterminantInverseNull space
7 related topics

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Computational implications

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Singular matrix

Nodes37
Edges36
Triples24
Avg. degree1.95
Density0.054054
Components1

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Singular matrix

Top relations

related to history · 15
Singular matrix → As, Cauchy, Cramer, Determinants, Europe, In, Japan, Laplace, Leibniz, Moore, Over, Penrose, Seki, The, Today
related to Computational implications · 8
Singular matrix → An, Ax, For, Gaussian Elimination, However, In Gaussian, One, This
is a · 1
Singular matrix → square matrix that is not invertible

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singular matrix displaystyle matrices invertible linear det determinant zero ax certain elimination theory pseudoinverse algebra case system non-zero solutions rank

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SubjectPredicateObjectConfidenceSrc
Singular matrixis asquare matrix that is not invertible0.90text
Singular matrixrelated to Computational implicationsAn0.60section
Singular matrixrelated to Computational implicationsAx0.60section
Singular matrixrelated to Computational implicationsIn Gaussian0.60section
Singular matrixrelated to Computational implicationsFor0.60section
Singular matrixrelated to Computational implicationsThis0.60section
Singular matrixrelated to Computational implicationsOne0.60section
Singular matrixrelated to Computational implicationsGaussian Elimination0.60section
Singular matrixrelated to Computational implicationsHowever0.60section
Singular matrixrelated to historyThe0.60section
Singular matrixrelated to historyDeterminants0.60section
Singular matrixrelated to historyJapan0.60section

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