Category:Linear algebra
Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (also called linear spaces), linear maps (also called linear transformations), and systems of linear equations. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis. Linear algebra also has a concrete representation in analytic geometry and it is generalized in operator theory. It has extensive applications in the natural sciences and the social sciences, since nonlinear models can often be approximated by linear ones.
Related categories
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Subcategories
This category has the following 17 subcategories, out of 20 total.
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- Invariant subspaces (10 P)
L
- Linear algebraists (43 P)
M
- Module theory (84 P)
N
S
- Singular value decomposition (13 P)
- Spectral theory (52 P)
- Super linear algebra (10 P)
T
V
Σ
Pages in category "Linear algebra"
The following 181 pages are in this category, out of approximately 286 total. This list may not reflect recent changes.
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L
- Lapped transform
- Lattice reduction
- Least-squares spectral analysis
- 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 recurrence with constant coefficients
- Linear relation
- Linear span
- Linear subspace
- Liouville space
- Locally finite operator
- Loewner order
M
N
O
- Orientation (vector space)
- Orientation of a vector bundle
- Orthant
- Orthogonal basis
- Orthogonal complement
- Orthogonal diagonalization
- Orthogonal Procrustes problem
- Orthogonal transformation
- Orthogonality (mathematics)
- Orthogonalization
- Orthographic projection
- Orthonormal basis
- Orthonormal function system
- Orthonormality
- Overcompleteness
- Overdetermined system
P
Q
R
- Radial set
- Rank (linear algebra)
- Rank factorization
- Rank-width
- Rayleigh quotient
- Rayleigh theorem for eigenvalues
- Rayleigh's quotient in vibrations analysis
- Reality structure
- Reducing subspace
- Reduction (mathematics)
- Regularized least squares
- Relative dimension
- Resolvent set
- Restricted isometry property
- Ridge regression
- Rota's basis conjecture
- Rotation of axes in two dimensions
- Row and column spaces
- Row and column vectors
- Row equivalence
- Rule of Sarrus
S
- S-procedure
- Samuelson–Berkowitz algorithm
- Scalar (mathematics)
- Schmidt decomposition
- Schur complement
- Schur product theorem
- Titu's lemma
- Segre classification
- Semi-simplicity
- Semilinear map
- Semisimple operator
- Sesquilinear form
- Shear mapping
- Shear matrix
- Sherman–Morrison formula
- Signal-flow graph
- Singular value decomposition
- Skew-Hamiltonian matrix
- Skew-Hermitian matrix
- 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
- Star domain
- Stokes operator
- Sublinear function
- Symplectic vector space
- System of linear equations
- Szegő limit theorems