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mathematical technique > algebra > linear algebra

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linear algebra  

Definition

  • Linear algebra is the branch of mathematics concerning linear equations such as : a₁x₁ + ··· + aₑxₑ = b, linear maps such as : (x₁ , ···, xₑ) → a₁x₁ + ··· + aₑxₑ , 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. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Linear_algebra)

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http://data.loterre.fr/ark:/67375/MDL-GQBBLRGT-S

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