Category:Linear algebra: Difference between revisions

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'''Linear algebra''' is the branch of [[mathematics]] concerned with the study of [[Euclidean vector|vector]]s, [[vector space]]s (also called ''linear spaces''), [[linear map]]s (also called ''linear transformations''), and [[system of linear equations|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 science]]s and the [[social sciences]], since nonlinear models can often be approximated by linear ones.
 
{{Cat main|Linear algebra}}
 
==Related categories==
{{Commons cat|Linear algebra}}
* [[:Category:Numerical analysis|Numerical analysis]]
* [[:Category:Polynomials|Polynomials]]
* [[:Category:Affine geometry|Affine geometry]]
* [[:Category:Vector calculus|Vector calculus]]
 
[[Category:Algebra]]
{{CatAutoTOC}}

Revision as of 19:36, 17 May 2024

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.

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