# 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 16 subcategories, out of 16 total.

### C

### D

### I

### L

### M

### N

### S

### T

### V

### Σ

## Pages in category "Linear algebra"

The following 200 pages are in this category, out of approximately 286 total. This list may not reflect recent changes (learn more).

(previous page) (next page)### A

### B

### C

- 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
- Commutation matrix
- Complex conjugate vector space
- Compressed sensing
- Computing the permanent
- Conformable matrix
- Conjugate transpose
- Controlled invariant subspace
- Convex cone
- Coordinate space
- Coordinate vector
- Corank
- Cramer's rule
- Cross product
- CSS code
- Cyclic subspace

### D

### E

### F

### G

### H

### I

### L

- Lapped transform
- Lattice reduction
- Leibniz formula for determinants
- Levi-Civita symbol
- Line segment
- Line–line intersection
- Book:Linear algebra
- Linear combination
- Linear complementarity problem
- Linear equation over a ring
- Linear form
- Linear independence
- Linear inequality
- Linear map
- Linear span
- Linear subspace
- Liouville space
- List of vector spaces in mathematics
- 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
- Orthogonalization
- Orthographic projection
- Orthonormal basis
- Orthonormal function system
- Orthonormality
- Overcompleteness
- Overdetermined system