Category:Linear algebra
;){kind=logo}
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
[edit]Subcategories
This category has the following 20 subcategories, out of 20 total.
C
D
- Determinants (49 P)
G
I
- Invariant subspaces (10 P)
L
- Linear algebraists (43 P)
M
- Module theory (85 P)
N
S
- Singular value decomposition (13 P)
- Spectral theory (54 P)
- Super linear algebra (10 P)
T
V
Σ
Pages in category "Linear algebra"
The following 200 pages are in this category, out of approximately 290 total. This list may not reflect recent changes.
(previous page) (next page)0–9
A
B
C
- Canonical basis
- Cartesian tensor
- Category of matrices
- 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
- Complex number
- Compressed sensing
- Computing the permanent
- Conformable matrix
- Conjugate transpose
- Constant-recursive sequence
- Controlled invariant subspace
- Convex cone
- Coordinate vector
- Corank
- CSS code
- Cyclic subspace
- Cyclical monotonicity
D
E
F
G
H
I
L
- Lapped transform
- Lattice reduction
- Least-squares spectral analysis
- Leibniz formula for determinants
- Levi-Civita symbol
- Line segment
- Line–line intersection
- Linear Algebra (book)
- 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
- LoRA (machine learning)
M
- Majorization
- Maple (software)
- Mathcad
- MATLAB
- Matrix addition
- Matrix analysis
- Matrix calculus
- Matrix Chernoff bound
- Matrix congruence
- Matrix difference equation
- Matrix norm
- Matrix pencil
- Matrix sign function
- Methods of matrix inversion
- Mixed linear complementarity problem
- Modeshape
- Motzkin–Taussky theorem
- Multilinear form
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
- Orthonormal basis
- Orthonormal function system
- Orthonormality
- Overcompleteness
- Overdetermined system