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Linear Algebra

 * List of linear algebra topics
 * Theorems and definitions in linear algebra


 * Linear equations
 * System of linear equations
 * Determinant
 * Minor (linear algebra)
 * Cauchy–Binet formula
 * Cramer's rule
 * Gaussian elimination
 * Strassen algorithm


 * Matrices
 * Linear algebra
 * Zero object (algebra)
 * Absolutely convex set
 * Adjugate matrix
 * Affine space
 * Amitsur–Levitzki theorem
 * Antilinear map
 * Antiunitary operator
 * Asymmetric norm
 * Backus–Gilbert method
 * Balanced set
 * Barycentric coordinate system
 * Basis (linear algebra)
 * Basis function
 * Bidiagonal matrix
 * Big M method
 * Binomial inverse theorem
 * Bra–ket notation
 * Bunch–Nielsen–Sorensen formula
 * Canonical basis
 * Cartesian tensor
 * Category of vector spaces
 * Cauchy–Schwarz inequality
 * Centrosymmetric matrix
 * Change of basis
 * Characteristic polynomial
 * Choi's theorem on completely positive maps
 * Coates graph
 * Codimension
 * Coefficient matrix
 * Column space
 * Column vector
 * Commutation matrix
 * Complex conjugate vector space
 * Complex vector space
 * Compressed sensing
 * Computing the permanent
 * Cone (linear algebra)
 * Conformable matrix
 * Conjugate transpose
 * Controlled invariant subspace
 * Convex cone
 * Coordinate space
 * Coordinate vector
 * CSS code
 * Defective matrix
 * Definite quadratic form
 * Delta operator
 * Dependence relation
 * Dieudonné determinant
 * Dimension (vector space)
 * Direct sum of modules
 * Direction vector
 * Dot product
 * Dual basis
 * Dual basis in a field extension
 * Dual norm
 * Dual number
 * Dual space
 * Eigendecomposition of a matrix
 * Eigengap
 * Eigenplane
 * Eigenvalue perturbation
 * Eigenvalues and eigenvectors
 * Elementary matrix
 * Entanglement-assisted stabilizer formalism
 * Euclidean space
 * Euclidean vector
 * Finite dimensional von Neumann algebra
 * Flag (linear algebra)
 * Flat (geometry)
 * Frame (linear algebra)
 * Frame of a vector space
 * Fredholm alternative
 * Fredholm's theorem
 * Frobenius normal form
 * Fusion frame
 * General linear group
 * Generalizations of Pauli matrices
 * Generalized eigenvector
 * Generalized singular value decomposition
 * Gershgorin circle theorem
 * Golden–Thompson inequality
 * Gram–Schmidt process
 * Hamming space
 * Haynsworth inertia additivity formula
 * Hermite normal form
 * Hilbert space
 * Hilbert–Poincaré series
 * Homogeneous coordinates
 * Homogeneous function
 * Homogeneous linear equation
 * Hurwitz determinant
 * Hyperplane
 * Identity matrix
 * Immanant of a matrix
 * Independent equation
 * Indeterminate system
 * Integer points in convex polyhedra
 * Invariant subspace
 * Invariants of tensors
 * Invertible matrix
 * Joint spectral radius
 * Jordan normal form
 * Jordan–Chevalley decomposition
 * K-frame
 * K-SVD
 * Kernel (algebra)
 * Kernel (linear algebra)
 * Lapped transform
 * Lattice reduction
 * Leibniz formula for determinants
 * Levi-Civita symbol
 * Line segment
 * Line-line intersection
 * Linear combination
 * Linear complementarity problem
 * Linear equation over a ring
 * Linear form
 * Linear independence
 * Linear inequality
 * Linear map
 * Linear span
 * Linear subspace
 * List of vector spaces in mathematics
 * Locally finite operator
 * Majorization
 * Matrix addition
 * Matrix analysis
 * Matrix calculus
 * Matrix Chernoff bound
 * Matrix congruence
 * Matrix decomposition into clans
 * Matrix determinant lemma
 * Matrix difference equation
 * Matrix norm
 * Matrix pencil
 * Mixed linear complementarity problem
 * Mode of a linear field
 * Newton's identities
 * Non-negative matrix factorization
 * Nonlinear eigenproblem
 * Nonnegative rank (linear algebra)
 * Norm (mathematics)
 * Normal basis
 * Null vector
 * Numerical range
 * Orientation (vector space)
 * Orthant
 * Orthogonal basis
 * Orthogonal complement
 * Orthogonal diagonalization
 * Orthogonal Procrustes problem
 * Orthogonal transformation
 * Orthogonality
 * Orthogonalization
 * Orthographic projection (geometry)
 * Orthonormal basis
 * Orthonormal function system
 * Orthonormality
 * Overcompleteness
 * Overdetermined system
 * Pairing
 * Partial trace
 * Peetre's inequality
 * Permanent
 * Polarization identity
 * Polynomial basis
 * Principal angles
 * 3D projection
 * Projection (linear algebra)
 * Projection-valued measure
 * Projectivization
 * Pseudoscalar
 * Pseudovector
 * Purification of quantum state
 * Quadratic eigenvalue problem
 * Quadratic form
 * Quadruple product
 * Quasinorm
 * Quaternionic matrix
 * Quaternionic vector space
 * Quotient space (linear algebra)
 * Rank (linear algebra)
 * Rank factorization
 * Rayleigh quotient
 * 2 × 2 real matrices
 * Reality structure
 * Reduction (mathematics)
 * Relative dimension
 * Resolvent set
 * Restricted isometry property
 * Rota's basis conjecture
 * Rotation operator (vector space)
 * Row and column spaces
 * Row equivalence
 * Row space
 * Row vector
 * Rule of Sarrus
 * Scalar (mathematics)
 * Scalar multiplication
 * Schmidt decomposition
 * Schur complement
 * Schur product theorem
 * Segre classification
 * Self-adjoint
 * Semi-simple operator
 * Semilinear transformation
 * Sesquilinear form
 * Seven-dimensional cross product
 * Shear mapping
 * Shear matrix
 * Sherman–Morrison formula
 * Singular value decomposition
 * Skew-Hamiltonian matrix
 * Skew-Hermitian
 * Special linear group
 * Spectral theorem
 * Spectral theory
 * Spherical basis
 * Spinors in three dimensions
 * Split-complex number
 * Spread of a matrix
 * Squeeze mapping
 * Stabilizer code
 * Standard basis
 * Standard flag
 * Steinitz exchange lemma
 * Stokes operator
 * Sublinear function
 * Sylvester's determinant theorem
 * Sylvester's law of inertia
 * Symplectic vector space
 * Tapering (mathematics)
 * Tensor operator
 * Tikhonov regularization
 * Toeplitz matrix
 * Trace (linear algebra)
 * Trace diagram
 * Trace identity
 * Transpose
 * Triangle inequality
 * Trilinear coordinates
 * Underdetermined system
 * Unit vector
 * Unitary transformation
 * Vector projection
 * Vector space
 * Vector spaces without fields
 * Vector-valued function
 * Vectorization (mathematics)
 * Weyl's inequality
 * Woodbury matrix identity
 * Z-order curve
 * Zech's logarithms
 * Zero mode
 * Matrix (mathematics)
 * Matrix multiplication