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Matrices

Matrices are rectangular arrays of numbers, symbols, or expressions, arranged in rows and columns. They are a fundamental concept in mathematics, particularly in linear algebra. A matrix can be denoted with uppercase letters (e.g., \( A \), \( B \), \( C \)), while individual elements within the matrix are often denoted with lowercase letters, often with two indices indicating their position.

Table of contents 11k 191
- Random matrices Matrices 70
- Sparse matrices Matrices 77
- Algebraic Riccati equation Matrices 68
- Alternant matrix Matrices 33
- Alternating sign matrix Matrices 65
- Aluthge transform Matrices 52
- Anti-diagonal matrix Matrices 73
- Arrowhead matrix Matrices 79
- Augmented matrix Matrices 52
- BLOSUM Matrices 71
- Balanced matrix Matrices 69
- Bartels–Stewart algorithm Matrices 60
- Bicomplex number Matrices 71
- Birkhoff algorithm Matrices 64
- Birkhoff factorization Matrices 66
- Birkhoff polytope Matrices 42
- Bisymmetric matrix Matrices 30
- Block matrix Matrices 82
- Block reflector Matrices 76
- Bohemian matrices Matrices 49
- Boolean matrix Matrices 56
- Brahmagupta matrix Matrices 38
- Brandt matrix Matrices 67
- Butson-type Hadamard matrix Matrices 26
- Bézout matrix Matrices 28
- CUR matrix approximation Matrices 54
- Cabibbo–Kobayashi–Maskawa matrix Matrices 65
- Cartan matrix Matrices 43
- Cauchy matrix Matrices 61
- Centering matrix Matrices 59
- Circulant matrix Matrices 49
- Column groups and row groups Matrices 80
- Companion matrix Matrices 16
- Comparison matrix Matrices 76
- Completely-S matrix Matrices 71
- Complex Hadamard matrix Matrices 29
- Compound matrix Matrices 73
- Condition number Matrices 59
- Constrained generalized inverse Matrices 77
- Continuant (mathematics) Matrices 50
- Convergent matrix Matrices 43
- Copositive matrix Matrices 54
- Corner transfer matrix Matrices 59
- Covariance matrix Matrices 40
- Cross-correlation matrix Matrices 53
- Cross-covariance matrix Matrices 52
- Cross Gramian Matrices 79
- DFT matrix Matrices 44
- Decomposition matrix Matrices 54
- Definite matrix Matrices 71
- Density matrix embedding theory Matrices 81
- Design matrix Matrices 82
- Diagonalizable matrix Matrices 78
- Diagonally dominant matrix Matrices 31
- Distance matrix Matrices 66
- Doubly stochastic matrix Matrices 61
- Duplication and elimination matrices Matrices 53
- EP matrix Matrices 66
- Euclidean distance matrix Matrices 33
- Fock matrix Matrices 65
- Fundamental matrix (linear differential equation) Matrices 33
- Fuzzy associative matrix Matrices 54
- Gamma matrices Matrices 55
- Gell-Mann matrices Matrices 60
- Generalized inverse Matrices 64
- Generalized permutation matrix Matrices 59
- Givens rotation Matrices 71
- Gram matrix Matrices 20
- Green's matrix Matrices 59
- H-matrix (iterative method) Matrices 66
- Hadamard's maximal determinant problem Matrices 53
- Hadamard matrix Matrices 29
- Hamiltonian matrix Matrices 46
- Hankel matrix Matrices 68
- Hasse–Witt matrix Matrices 40
- Hermitian matrix Matrices 47
- Hessenberg matrix Matrices 18
- Hessian automatic differentiation Matrices 67
- Hessian matrix Matrices 41
- Hierarchical matrix Matrices 72
- Higher-dimensional gamma matrices Matrices 29
- Higher spin alternating sign matrix Matrices 25
- Hilbert matrix Matrices 20
- Hollow matrix Matrices 82
- Householder transformation Matrices 46
- Hurwitz matrix Matrices 51
- Identity matrix Matrices 64
- Integer matrix Matrices 15
- Involutory matrix Matrices 51
- Irregular matrix Matrices 61
- Jacket matrix Matrices 63
- Jacobian matrix and determinant Matrices 41
- John Williamson (mathematician) Matrices 67
- Jones calculus Matrices 60
- Krawtchouk matrices Matrices 36
- L-matrix Matrices 80
- Lehmer matrix Matrices 26
- Leslie matrix Matrices 57
- Levinson recursion Matrices 74
- Linear group Matrices 53
- List of named matrices Matrices 49
- Logical matrix Matrices 71
- M-matrix Matrices 29
- Magic square Matrices 77
- Main diagonal Matrices 64
- Manin matrix Matrices 73
- Matrix (mathematics) Matrices 62
- Matrix chain multiplication Matrices 45
- Matrix consimilarity Matrices 34
- Matrix equivalence Matrices 33
- Matrix regularization Matrices 71
- Matrix representation Matrices 77
- Matrix similarity Matrices 74
- Matrix splitting Matrices 43
- Metzler matrix Matrices 19
- Modal matrix Matrices 67
- Monotone matrix Matrices 33
- Moore determinant of a Hermitian matrix Matrices 44
- Moore matrix Matrices 61
- Mueller calculus Matrices 79
- Nekrasov matrix Matrices 46
- Next-generation matrix Matrices 74
- Nilpotent matrix Matrices 36
- Nonnegative matrix Matrices 20
- Normal matrix Matrices 55
- Orbital overlap Matrices 66
- Orthogonal matrix Matrices 59
- Orthostochastic matrix Matrices 70
- P-matrix Matrices 39
- Packed storage matrix Matrices 64
- Paley construction Matrices 71
- Pascal matrix Matrices 50
- Pauli matrices Matrices 40
- Perfect matrix Matrices 78
- Permutation matrix Matrices 51
- Persymmetric matrix Matrices 61
- Plücker matrix Matrices 70
- Polyconvex function Matrices 52
- Polynomial matrix Matrices 46
- Projection matrix Matrices 68
- Pseudo-determinant Matrices 44
- Q-matrix Matrices 68
- Quincunx matrix Matrices 66
- R-matrix Matrices 66
- Redheffer matrix Matrices 36
- Redheffer star product Matrices 28
- Regular Hadamard matrix Matrices 21
- Rosenbrock system matrix Matrices 61
- Rotation matrix Matrices 42
- S-matrix Matrices 75
- Sample mean and covariance Matrices 58
- Scatter matrix Matrices 71
- Semi-orthogonal matrix Matrices 67
- Shift matrix Matrices 72
- Signature matrix Matrices 58
- Skew-symmetric matrix Matrices 61
- Square matrix Matrices 51
- Square root of a 2 by 2 matrix Matrices 53
- Stieltjes matrix Matrices 39
- Stochastic matrix Matrices 77
- Substitution matrix Matrices 44
- Supermatrix Matrices 67
- Supnick matrix Matrices 63
- Sylvester equation Matrices 50
- Sylvester matrix Matrices 49
- Symmetric matrix Matrices 43
- Symplectic matrix Matrices 29
- Toeplitz matrix Matrices 20
- Total active reflection coefficient Matrices 66
- Transfer function matrix Matrices 72
- Transformation matrix Matrices 70
- Transition-rate matrix Matrices 69
- Transpositions matrix Matrices 76
- Triangular matrix Matrices 61
- Trifocal tensor Matrices 45
- UK Molecular R-matrix Codes Matrices 55
- Unimodular matrix Matrices 62
- Unistochastic matrix Matrices 49
- Unitary matrix Matrices 58
- Vandermonde matrix Matrices 21
- Variation diminishing property Matrices 54
- WAIFW matrix Matrices 59
- Walsh matrix Matrices 32
- Weakly chained diagonally dominant matrix Matrices 35
- Weyl–Brauer matrices Matrices 74
- Wigner D-matrix Matrices 77
- Wilkinson matrix Matrices 61
- Wilson matrix Matrices 77
- Woodbury matrix identity Matrices 23
- Z-matrix (mathematics) Matrices 22
- Zero matrix Matrices 59

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