linear algebra - meaning and definition. What is linear algebra
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What (who) is linear algebra - definition

BRANCH OF MATHEMATICS THAT STUDIES VECTOR SPACES AND LINEAR TRANSFORMATIONS
LinearAlgebra; Linear alegebra; List of linear algebra references; Linear Algebra; Double eigenvalue; Linear Algebar; Applications of linear algebra; History of linear algebra
  • In three-dimensional [[Euclidean space]], these three planes represent solutions to linear equations, and their intersection represents the set of common solutions: in this case, a unique point. The blue line is the common solution to two of these equations.

Numerical linear algebra         
SUBFIELD OF NUMERICAL ANALYSIS AND A TYPE OF LINEAR ALGEBRA
Computational matrix algebra; Linear solver; Matrix computation; Applied linear algebra
Numerical linear algebra, sometimes called applied linear algebra, is the study of how matrix operations can be used to create computer algorithms which efficiently and accurately provide approximate answers to questions in continuous mathematics. It is a subfield of numerical analysis, and a type of linear algebra.
Linear Algebra and Its Applications         
MATHEMATICAL JOURNAL
Linear Algebra Appl; Linear Algebra Appl.; Linear Algebra and its Applications; Linear Algebra Its Appl; Linear Algebra Its Appl.; Linear Algebra & Its Applications; Linear Algebra & its Applications
Linear Algebra and its Applications is a biweekly peer-reviewed mathematics journal published by Elsevier and covering matrix theory and finite-dimensional linear algebra.
Special linear Lie algebra         
LIE ALGEBRA OF TRACELESS LINEAR TRANSFORMATIONS; LIE ALGEBRA OF THE SPECIAL LINEAR GROUP
Special linear algebra; Special linear lie algebra; Sl 2; Representation theory of sl 2; Draft:Special linear Lie algebra
In mathematics, the special linear Lie algebra of order n (denoted \mathfrak{sl}_n(F) or \mathfrak{sl}(n, F)) is the Lie algebra of n \times n matrices with trace zero and with the Lie bracket [X,Y]:=XY-YX. This algebra is well studied and understood, and is often used as a model for the study of other Lie algebras.

Wikipedia

Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as:

a 1 x 1 + + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b,}

linear maps such as:

( x 1 , , x n ) a 1 x 1 + + a n x n , {\displaystyle (x_{1},\ldots ,x_{n})\mapsto a_{1}x_{1}+\cdots +a_{n}x_{n},}

and their representations in vector spaces and through matrices.

Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis, a branch of mathematical analysis, may be viewed as the application of linear algebra to spaces of functions.

Linear algebra is also used in most sciences and fields of engineering, because it allows modeling many natural phenomena, and computing efficiently with such models. For nonlinear systems, which cannot be modeled with linear algebra, it is often used for dealing with first-order approximations, using the fact that the differential of a multivariate function at a point is the linear map that best approximates the function near that point.