List of linear algebra topics

Short description: Wikipedia list article

This is a list of linear algebra topics. See also:

* List of matrices
* Glossary of tensor theory.

## Contents

* 1 Linear equations
* 2 Matrices
* 3 Matrix decompositions
* 4 Relations
* 5 Computations
* 6 Vector spaces
* 7 Structures
* 8 Multilinear algebra
* 9 Affine space and related topics
* 10 Projective space

## Linear equations

## Matrices

## Matrix decompositions

## Relations

* Matrix equivalence
* Matrix congruence
* Matrix similarity
* Matrix consimilarity
* Row equivalence

## Computations

* Elementary row operations
* Householder transformation
* Least squares, linear least squares
* Gram–Schmidt process
* Woodbury matrix identity

## Vector spaces

## Structures

## Multilinear algebra

## Affine space and related topics

## Projective space

* Projective transformation
* Projective geometry
* Projective linear group
* Quadric and conic section

* v
* t
* e

Linear algebra

Basic concepts|

* Scalar
* Vector
* Vector space
* Scalar multiplication
* Vector projection
* Linear span
* Linear map
* Linear projection
* Linear independence
* Linear combination
* Basis
* Change of basis
* Row and column vectors
* Row and column spaces
* Orthogonality
* Kernel
* Eigenvalues and eigenvectors
* Outer product
* Inner product space
* Dot product
* Transpose
* Gram–Schmidt process
* Linear equations
* Fundamental theorem

Vector algebra|

* Cross product
* Triple product
* Seven-dimensional cross product

Multilinear algebra|

* Geometric algebra
* Exterior algebra
* Bivector
* Multivector
* Tensor
* Outermorphism

Matrices|

* Block
* Decomposition
* Invertible
* Minor
* Multiplication
* Rank
* Transformation
* Cramer's rule
* Gaussian elimination
* Determinant

Algebraic constructions|

* Dual
* Direct sum
* Function space
* Quotient
* Subspace
* Tensor product

Numerical|

* Floating-point
* MATLAB
* Numerical stability
* Basic Linear Algebra Subprograms (BLAS)
* Sparse matrix
* Comparison of linear algebra libraries
* Comparison of numerical analysis software

* Category
* Outline
* Mathematics portal
* Wikibook
* Wikiversity

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