**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.

Wikimedia Commons has media related to
Linear algebra.

This category has the following 20 subcategories, out of 20 total.

- Determinants (46 P)

- Invariant subspaces (10 P)

- Linear algebraists (40 P)

- Module theory (81 P)

- Singular value decomposition (13 P)
- Spectral theory (52 P)
- Super linear algebra (10 P)

- Linear algebra stubs (58 P)

The following 200 pages are in this category, out of approximately 284 total. This list may not reflect recent changes.

(previous page) ( next page)- Canonical basis
- Cartesian tensor
- Category of modules
- Cauchy–Schwarz inequality
- Centrosymmetric matrix
- Change of basis
- Characteristic polynomial
- Choi's theorem on completely positive maps
- Coates graph
- Codimension
- Coefficient matrix
- Combinatorial matrix theory
- Commutation matrix
- Complex conjugate of a vector space
- Compressed sensing
- Computing the permanent
- Conformable matrix
- Conjugate transpose
- Constant-recursive sequence
- Controlled invariant subspace
- Convex cone
- Coordinate vector
- Corank
- CSS code
- Cyclic subspace

- 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

- 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