Category:Definitions/Linear Algebra
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This category contains definitions related to Linear Algebra.
Related results can be found in Category:Linear Algebra.
Linear algebra is the branch of algebra which studies vector spaces and linear transformations between them.
Subcategories
This category has the following 51 subcategories, out of 51 total.
A
- Definitions/Algebraic Duals (4 P)
- Definitions/Annihilators (8 P)
B
C
- Definitions/Change of Basis (4 P)
D
- Definitions/Discriminants (2 P)
- Definitions/Dot Product (12 P)
E
- Definitions/Eigenvectors (12 P)
G
I
L
- Definitions/Linear Forms (3 P)
M
- Definitions/Matrix Spaces (5 P)
N
- Definitions/Normed Spaces (3 P)
- Definitions/Null Spaces (2 P)
O
Q
R
S
T
U
- Definitions/Unitary Modules (4 P)
V
- Definitions/Vector Cross Product (11 P)
Z
- Definitions/Zero Vectors (6 P)
Pages in category "Definitions/Linear Algebra"
The following 174 pages are in this category, out of 174 total.
A
B
C
- Definition:Change of Basis Matrix
- Definition:Characteristic Polynomial of Linear Operator
- Definition:Characteristic Polynomial of Matrix
- Definition:Closed for Scalar Product
- Definition:Closed Linear Subspace
- Definition:Closure (Abstract Algebra)
- Definition:Closure (Abstract Algebra)/Scalar Product
- Definition:Cofactor Matrix
- Definition:Conjugate Symmetric Mapping
- Definition:Coordinate Vector
- Definition:Covolume of Lattice
D
E
G
H
I
- Definition:Inner Product
- Definition:Inner Product Space
- Definition:Integer Lattice
- Definition:Integral Lattice
- Definition:Internal Direct Sum of Modules
- Definition:Internal Direct Sum of Modules/Definition 1
- Definition:Internal Direct Sum of Modules/Definition 2
- Definition:Internal Direct Sum of Modules/Definition 3
- Definition:Invariant Subspace of Normed Vector Space
- Definition:Isomorphism (Abstract Algebra)/R-Algebraic Structure Isomorphism
- Definition:Isomorphism (Abstract Algebra)/R-Algebraic Structure Isomorphism/Module Isomorphism
- Definition:Isomorphism (Abstract Algebra)/R-Algebraic Structure Isomorphism/Vector Space Isomorphism
K
L
- Definition:Lattice (Group)
- Definition:Left Null Space
- Definition:Linear Algebra
- Definition:Linear Combination
- Definition:Linear Combination of Empty Set
- Definition:Linear Combination of Sequence
- Definition:Linear Combination of Subset
- Definition:Linear Combination/Empty Set
- Definition:Linear Combination/Sequence
- Definition:Linear Combination/Subset
- Definition:Linear Differential Operator
- Definition:Linear Equation
- Definition:Linear Form
- Definition:Linear Integral Operator
- Definition:Linear Operator
- Definition:Linear Operator on Vector Space
- Definition:Linear Operator/Vector Space
- Definition:Linear Space
- Definition:Linear Span
- Definition:Linear Transformation
- Linear Transformation has Finite Index iff Pseudoinverse exists
- Definition:Linear Transformation on Vector Space
- Definition:Linear Transformation/Vector Space
- Definition:Linearly Dependent
- Definition:Linearly Independent
M
N
O
- Definition:Ordered Basis
- Definition:Ordered Basis (Linear Algebra)
- Definition:Ordered Dual Basis
- Definition:Orthogonal (Linear Algebra)
- Definition:Orthogonal Basis
- Definition:Orthogonal Basis of Vector Space
- Definition:Orthogonal Vectors
- Definition:Orthonormal (Linear Algebra)
- Definition:Orthonormal Basis
- Definition:Orthonormal Basis of Vector Space
- Definition:Orthonormal Subset
P
R
- Definition:R-Algebraic Structure Automorphism
- Definition:R-Algebraic Structure Endomorphism
- Definition:R-Algebraic Structure Epimorphism
- Definition:R-Algebraic Structure Homomorphism
- Definition:R-Algebraic Structure Monomorphism
- Definition:Rank (Linear Algebra)
- Definition:Rank of Linear Transformation
- Definition:Rank of Matrix
- Definition:Rank/Linear Transformation
- Definition:Relative Matrix of Linear Map
- Definition:Relative Matrix of Linear Transformation
- Definition:Representation Theory
- Definition:Row Space
S
- Definition:Scalar Division
- Definition:Scalar Field (Linear Algebra)
- Definition:Scalar Multiplication
- Definition:Scalar Ring/Zero Scalar
- Definition:Scalar/R-Algebraic Structure
- Definition:Scalar/Vector Space
- Definition:Semi-Inner Product Space
- Definition:Set of All Linear Transformations/Vector Space
- Definition:Similarity Mapping
- Definition:Simultaneous Equations
- Definition:Simultaneous Equations/Linear Equations
- Definition:Simultaneous Linear Equations
- Definition:Space Vector
- Definition:Spanning Set
- Definition:Standard Basis
- Definition:Standard Basis Matrix
- Definition:Standard Matrix Basis
- Definition:Standard Ordered Basis
- Definition:Symmetric Mapping
- Definition:Symmetric Mapping (Linear Algebra)
T
V
- Definition:Vector (Euclidean Space)
- Definition:Vector (Euclidean Space)/Plane Vector
- Definition:Vector (Euclidean Space)/Space Vector
- Definition:Vector Algebra
- Definition:Vector Analysis
- Definition:Vector Calculus
- Definition:Vector Cross Product
- Definition:Vector Quantity
- Definition:Vector Space
- Definition:Vector Space Automorphism
- Definition:Vector Space Axioms
- Definition:Vector Space Epimorphism
- Definition:Vector Space Isomorphism
- Definition:Vector Space Monomorphism
- Definition:Vector Subspace
- Definition:Vector Subspace/Hilbert Spaces
- Definition:Vector Subspace/Proper Subspace