Category:Definitions/Linear Algebra

A

• [×] Definitions/Algebras‎ (32 P)

D

• [+] Definitions/Matrix Algebra‎ (1 C, 48 P)
• [×] Definitions/Null Spaces‎ (2 P)

M

• [+] Definitions/Module Theory‎ (3 C, 35 P)

R

• [×] Definitions/Representation Theory‎ (15 P)

V

• [+] Definitions/Vector Algebra‎ (1 C, 23 P)

V cont.

• [+] Definitions/Vector Spaces‎ (2 C, 9 P)

A

• Definition:Additive Function (Conventional)
• Definition:Adjugate
• Definition:Affine Transformation
• Definition:Algebraic Dual
• Definition:Angle Between Vectors
• Definition:Annihilator

B

• Definition:Basis (Linear Algebra)
• Definition:Bilinear Mapping

C

• Definition:Change of Basis
• Definition:Closed for Scalar Product
• Definition:Closed Linear Subspace
• Definition:Closure (Abstract Algebra)
• Definition:Closure (Abstract Algebra)/Scalar Product
• Definition:Cofactor
• Definition:Column Space
• Definition:Coordinate

D

• Definition:Determinant of a Linear Transformation
• Definition:Dimension (Linear Algebra)

E

• Definition:Engineering Notation
• Definition:Euclidean Space

H

• Definition:Vector Subspace/Hilbert Spaces
• Definition:Homogeneous Linear Equations
• Homogeneous Linear Equations with More Unknowns than Equations

K

• Definition:Kernel of Linear Transformation

L

• Definition:Left Null Space
• Definition:Linear Combination
• Definition:Linear Equation
• Definition:Linear Form
• Definition:Linear Operator
• Definition:Linear Space
• Definition:Linear Span

L cont.

• Definition:Linear Transformation
• Definition:Linearly Dependent
• Definition:Linearly Dependent Set
• Definition:Linearly Independent
• Definition:Linearly Independent Sequence
• Definition:Linearly Independent Set

M

• Definition:Minkowski Sum
• Definition:Module
• Definition:Module Isomorphism
• Definition:Multilinear Mapping

N

• Definition:Normed Linear Space
• Definition:Null Space
• Definition:Nullity

O

• Definition:Ordered Basis
• Definition:Orthogonal (Linear Algebra)

P

• Definition:Perpendicular (Linear Algebra)
• Definition:Product Space (Metric Spaces)
• Definition:Vector Subspace/Proper Subspace
• Definition:Proper Vector Subspace

R

• Definition:R-Algebraic Structure
• Definition:R-Algebraic Structure Automorphism
• Definition:R-Algebraic Structure Endomorphism
• Definition:R-Algebraic Structure Epimorphism
• Definition:R-Algebraic Structure Homomorphism
• Definition:R-Algebraic Structure Isomorphism
• Definition:R-Algebraic Structure Monomorphism
• Definition:Rank
• Definition:Real Vector Space
• Definition:Relative Matrix
• Definition:Row Space

S

• Definition:Scalar

S cont.

• Definition:Scalar Field
• Definition:Scalar Multiplication
• Definition:Scalar Ring
• Definition:Scalar Ring/Scalar
• Definition:Scalar Ring/Scalar Multiplication
• Definition:Scalar Ring/Zero Scalar
• Definition:Set of All Linear Transformations
• Definition:Simultaneous Equations
• Definition:Simultaneous Equations/Matrix Representation
• Definition:Simultaneous Linear Equations
• Definition:Simultaneous Equations/Solution Set
• Definition:Spanning Set
• Definition:Standard Basis
• Definition:Standard Ordered Basis

T

• Definition:Trace (Linear Algebra)
• Definition:Transpose of a Matrix
• Definition:Transpose of Linear Transformation
• Definition:Trilinear Mapping

U

• Definition:Unitary Module

V

• Definition:Vector (Euclidean Space)
• Definition:Vector (Physics)
• Definition:Vector Space
• Definition:Vector Space Axioms
• Definition:Vector Space Epimorphism
• Definition:Vector Space Isomorphism
• Definition:Vector Space Monomorphism
• Definition:Vector Subspace

Z

• Definition:Zero Scalar
• Definition:Zero Subspace
• Definition:Zero Vector