General Linear Group

GPTKB entity

Properties (62)
Predicate Object
gptkbp:instanceOf Group Theory
gptkbp:associatedWith infinity
gptkbp:contains Invertible Matrices
gptkbp:field n^2
gptkbp:hasSubsidiary Special_Linear_Group
https://www.w3.org/2000/01/rdf-schema#label General Linear Group
gptkbp:isAssociatedWith Matrix Theory
gptkbp:isAttendedBy GL(n, R) for n > 0
gptkbp:isCharacterizedBy Matrix Operations
Basis Vectors
Invertibility
Matrix Rank
Determinant not equal to zero
Linear_Independence
gptkbp:isCitedBy Matrix Entries
Linear_Equations
gptkbp:isConnectedTo gptkb:Lie_Groups
Cryptography
Optimization
Topology
Differential Geometry
Algebraic_Geometry
gptkbp:isInvolvedIn Game Theory
Statistical Mechanics
Representation Theory
gptkbp:isLocatedIn Matrix Multiplication
gptkbp:isMaintainedBy Elementary Matrices
gptkbp:isMarriedTo True
gptkbp:isNotableFor Matrix Representation
gptkbp:isPartOf gptkb:Algebraic_Groups
Mathematics
Applied Mathematics
Linear_Algebra
Theoretical_Computer_Science
gptkbp:isRelatedTo Combinatorics
Eigenvalues
Transformations
Control_Systems
Data_Science
Mathematical_Physics
Symmetry_Groups
Linear_Transformations
gptkbp:isRepresentedIn Vector_Spaces
GL(n,_F)
gptkbp:isSetIn False
gptkbp:isStudiedIn Discrete Mathematics
Geometry
Numerical Analysis
Abstract Algebra
Functional Analysis
gptkbp:isUsedFor Physics
gptkbp:isUsedIn gptkb:Quantum_Mechanics
Artificial Intelligence
Machine Learning
Signal Processing
Statistics
Control Theory
Computer_Graphics
Linear_Algebra
gptkbp:isValuedFor Field
Complex Numbers
Any Field F