# Category:Linear algebra

Here is a list of articles in the Linear algebra category of the Computing portal that unifies foundations of mathematics and computations using computers.
**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

## Subcategories

This category has the following 16 subcategories, out of 16 total.

### C

### D

### I

### L

### M

### N

### S

### T

### V

## Pages in category "Linear algebra"

The following 200 pages are in this category, out of 297 total.

(previous page) (next page)- Linear algebra
*(computing)*

### *

- List of linear algebra topics
*(computing)* - Outline of linear algebra
*(computing)*

### 0

- Zero object (algebra)
*(computing)*

### 3

- 3D projection
*(engineering)*

### A

- Absolutely convex set
*(computing)* - Adjugate matrix
*(computing)* - Affine space
*(computing)* - Amitsur–Levitzki theorem
*(computing)* - Angles between flats
*(computing)* - Antilinear map
*(computing)* - Antiunitary operator
*(computing)* - Asymmetric norm
*(computing)*

### B

- Backus–Gilbert method
*(computing)* - Balanced set
*(computing)* - Barycentric coordinate system
*(computing)* - Basis (linear algebra)
*(computing)* - Basis function
*(computing)* - Bendixson's inequality
*(computing)* - Bidiagonal matrix
*(computing)* - Big M method
*(computing)* - Bilinear form
*(computing)* - Birkhoff orthogonality
*(computing)* - Bra–ket notation
*(computing)* - Broken/Linear algebra
*(computing)* - Bunch–Nielsen–Sorensen formula
*(computing)*

### C

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

### D

- Defective matrix
*(computing)* - Definite quadratic form
*(computing)* - Delta operator
*(computing)* - Dependence relation
*(computing)* - Determinant
*(computing)* - Dieudonné determinant
*(computing)* - Dimension (vector space)
*(computing)* - Direct sum of modules
*(computing)* - Dual basis
*(computing)* - Dual basis in a field extension
*(computing)* - Dual norm
*(computing)* - Dual number
*(computing)* - Dual space
*(computing)*

### E

- Eigengap
*(computing)* - Eigenoperator
*(computing)* - Eigenplane
*(computing)* - Eigenvalue perturbation
*(computing)* - Eigenvalues and eigenvectors
*(computing)* - Elementary matrix
*(computing)* - Entanglement-assisted stabilizer formalism
*(computing)* - Euclidean space
*(computing)* - Euclidean vector
*(computing)*

### F

- Faddeev–LeVerrier algorithm
*(computing)* - Fangcheng (mathematics)
*(computing)* - Finite von Neumann algebra
*(computing)* - Flag (linear algebra)
*(computing)* - Flat (geometry)
*(computing)* - Frame (linear algebra)
*(computing)* - Fredholm alternative
*(computing)* - Fredholm's theorem
*(computing)* - Frobenius normal form
*(computing)* - Function space
*(computing)* - Fusion frame
*(computing)*

### G

- General linear group
*(computing)* - Generalizations of Pauli matrices
*(computing)* - Generalized eigenvector
*(computing)* - Generalized singular value decomposition
*(computing)* - Gershgorin circle theorem
*(computing)* - Glossary of linear algebra
*(computing)* - Golden–Thompson inequality
*(computing)* - Graded (mathematics)
*(computing)* - Gram–Schmidt process
*(computing)*

### H

- Hahn–Banach theorem
*(computing)* - Hamming space
*(computing)* - Haynsworth inertia additivity formula
*(computing)* - Hermite normal form
*(computing)* - Hilbert space
*(computing)* - Hilbert–Poincaré series
*(computing)* - Homogeneous coordinates
*(computing)* - Homogeneous function
*(computing)* - Homogeneous linear equation
*(computing)* - Hurwitz determinant
*(computing)* - Hyperplane
*(computing)*

### I

- Igon value
*(computing)* - Immanant
*(computing)* - Independent equation
*(computing)* - Indeterminate system
*(computing)* - Integer points in convex polyhedra
*(computing)* - International Linear Algebra Society
*(organization)* - Intersection (Euclidean geometry)
*(computing)* - Invariant subspace
*(computing)* - Invariants of tensors
*(computing)* - Invertible matrix
*(computing)*

### J

- Joint spectral radius
*(computing)* - Jordan normal form
*(computing)* - Jordan–Chevalley decomposition
*(computing)*

### K

- K-frame
*(computing)* - K-SVD
*(computing)* - Kernel (algebra)
*(computing)* - Kernel (linear algebra)
*(computing)*

### L

- Lapped transform
*(computing)* - Lattice reduction
*(computing)* - Least-squares spectral analysis
*(computing)* - Leibniz formula for determinants
*(computing)* - Levi-Civita symbol
*(computing)* - Line segment
*(computing)* - Line–line intersection
*(computing)* - Manual:Linear algebra
- Book:Linear algebra
- Linear combination
*(computing)* - Linear equation over a ring
*(computing)* - Linear form
*(computing)* - Linear independence
*(computing)* - Linear inequality
*(computing)* - Linear recurrence with constant coefficients
*(computing)* - Linear span
*(computing)* - Linear subspace
*(computing)* - Liouville space
*(computing)* - Locally finite operator
*(computing)* - Loewner order
*(computing)*

### M

- Majorization
*(computing)* - Maple
*(software)* - Mathcad
*(software)* - MATLAB
*(software)* - Matrix addition
*(computing)* - Matrix analysis
*(computing)* - Matrix calculus
*(computing)* - Matrix Chernoff bound
*(computing)* - Matrix congruence
*(computing)* - Matrix difference equation
*(computing)* - Matrix norm
*(computing)* - Matrix pencil
*(computing)* - Matrix sign function
*(computing)* - Mixed linear complementarity problem
*(computing)* - Mode of a linear field
*(computing)* - Modeshape
*(computing)* - Multilinear form
*(computing)*

### N

- ND4J
*(software)* - ND4S
*(software)* - Newton's identities
*(computing)* - Non-negative matrix factorization
*(computing)* - Nonlinear eigenproblem
*(computing)* - Nonnegative rank (linear algebra)
*(computing)* - Norm (mathematics)
*(computing)* - Seminorm
*(computing)* - Normal basis
*(computing)* - Null vector
*(computing)* - Nullspace property
*(computing)* - DMelt:Numeric/1 Linear Algebra
- Numerical range
*(computing)*

### O

- Orientation (vector space)
*(computing)* - Orientation of a vector bundle
*(computing)* - Orthant
*(computing)* - Orthogonal basis
*(computing)* - Orthogonal complement
*(computing)* - Orthogonal diagonalization
*(computing)* - Orthogonal Procrustes problem
*(computing)* - Orthogonal transformation
*(computing)* - Orthogonality
*(computing)* - Orthogonalization
*(computing)* - Orthographic projection
*(computing)* - Orthonormal basis
*(computing)* - Orthonormal function system
*(computing)* - Orthonormality
*(computing)* - Overcompleteness
*(computing)* - Overdetermined system
*(computing)*

### P

- Pairing
*(computing)* - Partial trace
*(computing)* - Peetre's inequality
*(computing)* - Permanent (mathematics)
*(computing)* - Pohlke's theorem
*(computing)* - Polarization identity
*(computing)* - Polynomial basis
*(computing)* - Productive matrix
*(computing)* - Projection (linear algebra)
*(computing)* - Projection-valued measure
*(computing)* - Projectivization
*(computing)*