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 86 subcategories, out of 86 total.
A
- Definitions/Algebraic Duals (4 P)
- Definitions/Alternants (2 P)
- Definitions/Annihilators (8 P)
B
C
- Definitions/Change of Basis (4 P)
- Definitions/Column Rank (1 P)
- Definitions/Column Space (3 P)
D
E
- Definitions/Eliminants (3 P)
G
H
- Definitions/Hessian Matrices (1 P)
I
- Definitions/Integer Lattices (1 P)
J
L
- Definitions/Linear Equations (1 P)
M
- Definitions/Matrix Spaces (7 P)
N
- Definitions/Null Spaces (4 P)
O
- Definitions/Ordered Bases (1 P)
R
- Definitions/Row Rank (1 P)
- Definitions/Row Space (3 P)
S
T
U
V
- Definitions/Vector Subspaces (2 P)
Z
- Definitions/Zero Vectors (8 P)
Pages in category "Definitions/Linear Algebra"
The following 191 pages are in this category, out of 191 total.
A
B
C
- Definition:Change of Basis Matrix
- Definition:Characteristic Equation of Matrix
- 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:Column Rank
- Definition:Column Space
- Definition:Complementary Subspace
- Definition:Congruence Transformation
- Definition:Conjugate Symmetric Mapping
- Definition:Convex Combination
- Definition:Coordinate Vector
- Definition:Covolume of Lattice
D
E
G
H
- Definition:Hamel Basis
- Definition:Hermitian Conjugate
- Definition:Hermitian Matrix
- Definition:Hessian
- Definition:Hessian Determinant
- Definition:Hessian Matrix
- Definition:Holomorphic Function/Vector-Valued
- Definition:Homogeneous Linear Equations
- Definition:Homogeneous Linear Equations/Matrix Representation
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/Vector Space Isomorphism
K
L
- Definition:Left Null Space
- Definition:Linear Algebra (Mathematical Branch)
- 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 (Linear Algebra)
- 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
- 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 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:Resultant
- Definition:Row Rank
- Definition:Row Space
S
- Definition:Scalar (Abstract Algebra)
- Definition:Scalar Division
- Definition:Scalar Field (Linear Algebra)
- Definition:Scalar Multiplication
- Definition:Scalar Ring/Zero Scalar
- Definition:Scalar/Abstract Algebra
- 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:Spanning Set of Module
- Definition:Spanning Set of Vector Space
- 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 (Linear Algebra)
- Definition:Vector (Real Euclidean Space)
- Definition:Vector (Vector Space)
- 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 Epimorphism
- Definition:Vector Space Isomorphism
- Definition:Vector Space Monomorphism
- Definition:Vector Subspace
- Definition:Vector Subspace/Hilbert Spaces
- Definition:Vector Subspace/Proper Subspace
- Definition:Vector/Real Euclidean Space/Plane Vector
- Definition:Vector/Real Euclidean Space/Space Vector