Ciro Santilli
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中国独裁统治 China Dictatorship 新疆改造中心、六四事件、法轮功、郝海东、709大抓捕、2015巴拿马文件 邓家贵、低端人口、西藏骚乱
Linear algebra
wiki
Algebra
toc
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words:
4k
Table of contents
4k
Linear function
link
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Linear algebra
106
Linear map (linear operator)
link
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Linear algebra
217
Form (mathematics)
link
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Linear map
12
Linear form
link
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Linear map
24
Matrix representation of a linear form
link
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Linear form
36
Dual space (
V
∗
)
link
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Linear form
128
Dual vector (
e
i
)
link
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Dual space
174
Linear operator
link
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Linear map
45
Adjoint operator (
A
†
)
link
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Linear operator
40
Self-adjoint operator
link
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Linear map
0
Multilinear map
link
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Linear map
0
Bilinear map
link
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Multilinear map
98
Bilinear form (
B
(
x
,
y
)
)
link
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Multilinear map
71
Matrix representation of a bilinear form
link
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Bilinear form
66
Effect of a change of basis on the matrix of a bilinear form (
B
2
=
C
T
B
C
)
link
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Matrix representation of a bilinear form
157
Multilinear form
link
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Multilinear map
25
Symmetric bilinear map
link
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Multilinear map
34
Symmetric bilinear form
link
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Symmetric bilinear map
5
Matrix representation of a symmetric bilinear form
link
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Symmetric bilinear form
71
Hermitian form
link
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Symmetric bilinear map
49
Matrix representation of a Hermitian form
link
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Hermitian form
3
Quadratic form
link
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Symmetric bilinear map
181
Positive definite symmetric bilinear form
link
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Symmetric bilinear map
11
Matrix representation of a positive definite symmetric bilinear form
link
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Positive definite symmetric bilinear form
6
Skew-symmetric bilinear map
link
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Symmetric bilinear map
8
Skew-symmetric bilinear form
link
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Symmetric bilinear map
5
Symmetric multilinear map
link
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Multilinear map
8
Antisymmetric multilinear map
link
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Symmetric multilinear map
8
Alternating multilinear map
link
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Multilinear map
2
Dot product
link
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Linear algebra
177
Orthogonality
link
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Dot product
0
Orthonormality
link
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Orthogonality
0
Angle
link
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Dot product
0
Cross product (
x
×
y
)
link
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Linear algebra
0
Jacobi identity
link
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Cross product
0
Index picking function
link
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Linear algebra
0
Kronecker delta (
δ
i
j
)
link
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Index picking function
0
Levi-Civita symbol (
ε
)
link
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Index picking function
26
Levi-Civita symbol as a tensor
link
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Levi-Civita symbol
70
Projection (mathematics)
link
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Linear algebra
0
Matrix
link
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Linear algebra
0
Matrix operation
link
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Matrix
0
Determinant (
d
e
t
)
link
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Matrix operation
23
Matrix inverse (
M
−
1
)
link
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Matrix operation
16
Invertible matrix
link
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Matrix inverse
22
Transpose (
M
T
)
link
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Matrix operation
0
Transpose of a matrix multiplication
link
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Transpose
14
Inverse of the transpose
link
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Transpose
6
Matrix multiplication
link
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Matrix
59
System of linear equations
link
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Matrix multiplication
0
Application of systems of linear equations
link
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System of linear equations
15
System of linear equations algorithm
link
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System of linear equations
0
LINPACK benchmarks
link
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System of linear equations algorithm
0
Conjugate gradient method
link
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System of linear equations algorithm
76
Application of matrix multiplication
link
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Matrix multiplication
2
Matrix multiplication algorithm
link
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Matrix multiplication
0
General Matrix Matrix Multipliation (GEMM)
link
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Matrix multiplication algorithm
11
Matrix decomposition
link
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Matrix multiplication
0
Eigenvalues and eigenvectors
link
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Matrix
0
Applications of eigenvalues and eigenvectors
link
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Eigenvalues and eigenvectors
0
Characteristic polynomial
link
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Eigenvalues and eigenvectors
0
Eigenvalue
link
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Eigenvalues and eigenvectors
2
Spectrum (functional analysis)
link
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Eigenvalue
5
Continuous spectrum (functional analysis)
link
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Spectrum
49
Eigendecomposition of a matrix
link
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Eigenvalues and eigenvectors
87
Eigendecomposition of a real symmetric matrix
link
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Eigendecomposition of a matrix
24
Sylvester's law of inertia
link
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Eigendecomposition of a matrix
320
Congruent matrix
link
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Sylvester's law of inertia
22
Matrix congruence can be seen as the change of basis of a bilinear form
link
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Congruent matrix
41
Matrix similarity
link
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Sylvester's law of inertia
0
Metric signature
link
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Sylvester's law of inertia
0
Metric signature matrix
link
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Metric signature
0
Eigenvector
link
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Eigenvalues and eigenvectors
2
Eigenvectors and eigenvalues of the identity matrix
link
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Eigenvalues and eigenvectors
0
Spectral theorem
link
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Eigenvalues and eigenvectors
0
Hermitian matrix (complex analogue of symmetric matrix)
link
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Spectral theorem
0
Hermitian operator
link
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Hermitian matrix
40
Riesz representation theorem
link
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Hermitian operator
0
Kronecker product
link
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Matrix
0
Named matrix
link
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Matrix
0
Dense and sparse matrices
link
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Named matrix
80
Dense matrix
link
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Dense and sparse matrices
0
Sparse matrix
link
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Dense and sparse matrices
0
Diagonal matrix
link
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Named matrix
5
Scalar matrix (
Z
(
V
)
)
link
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Diagonal matrix
5
Identity matrix (
I
n
)
link
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Scalar matrix
0
Square matrix
link
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Named matrix
0
Matrix ring (Matrix ring of degree n,
M
n
, Set of all n-by-y square matrices)
link
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Square matrix
28
Orthogonal matrix
link
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Named matrix
4
Unitary matrix
link
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Orthogonal matrix
19
Triangular matrix
link
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Named matrix
0
Symmetric matrix
link
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Named matrix
18
Definite matrix
link
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Symmetric matrix
9
Positive definite matrix
link
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Definite matrix
18
Skew-symmetric matrix (Antisymmetric matrix)
link
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Symmetric matrix
21
Skew-symmetric form
link
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Skew-symmetric matrix
0
Vector space
link
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Linear algebra
0
Basis (linear algebra)
link
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Vector space
0
Change of basis
link
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Basis
24
Change of basis matrix
link
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Change of basis
152
Change of basis between symmetric matrices
link
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Change of basis
23
Linear independence
link
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Basis
0
Classification of vector spaces
link
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Vector space
0
Underlying field of a vector space
link
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Vector space
74
Vector (mathematics)
link
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Vector space
0
Scalar (mathematics)
link
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Vector
27
Tensor
link
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Linear algebra
74
A linear map is a (1,1) tensor
link
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Tensor
51
Tensor space (
T
(
m
,
n
)
)
link
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Tensor
1
Order of a tensor
link
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Tensor space
6
Einstein notation (Einstein summation convention)
link
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Tensor
81
Raised and lowered indices
link
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Einstein notation
72
Raised index
link
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Raised and lowered indices
0
Lowered index
link
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Raised and lowered indices
0
Raising and lowering indices
link
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Raised and lowered indices
0
Implicit metric signature in Einstein notation
link
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Einstein notation
57
Einstein notation for partial derivatives
link
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Einstein notation
54
Divergence in Einstein notation
link
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Einstein notation for partial derivatives
100
Laplacian in Einstein notation (
∂
i
∂
i
)
link
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Einstein notation for partial derivatives
97
D'alembert operator in Einstein notation (
∂
i
∂
i
)
link
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Laplacian in Einstein notation
58
Klein-Gordon equation in Einstein notation
link
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D'alembert operator in Einstein notation
30
Covariance and contravariance of vectors
link
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Einstein notation
0
Covariant vector
link
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Covariance and contravariance of vectors
0
Contravariant vector
link
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Covariance and contravariance of vectors
0
Linear algebra bibliography
link
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Linear algebra
0
Interactive Linear Algebra by Margalit and Rabinoff
link
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Linear algebra bibliography
5
Ancestors
Algebra
Mathematics
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Ciro Santilli
$£ Sponsor €¥
中国独裁统治 China Dictatorship 新疆改造中心、六四事件、法轮功、郝海东、709大抓捕、2015巴拿马文件 邓家贵、低端人口、西藏骚乱
Ciro Santilli
$£ Sponsor €¥
中国独裁统治 China Dictatorship 新疆改造中心、六四事件、法轮功、郝海东、709大抓捕、2015巴拿马文件 邓家贵、低端人口、西藏骚乱