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- Linear_map abstract "In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping V ↦ W between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication. An important special case is when V = W, in which case the map is called a linear operator, or an endomorphism of V. Sometimes the definition of a linear function coincides with that of a linear map, while in analytic geometry it does not.A linear map always maps linear subspaces to linear subspaces (possibly of a lower dimension); for instance it maps a plane through the origin to a plane, straight line or point.In the language of abstract algebra, a linear map is a homomorphism of modules. In the language of category theory it is a morphism in the category of modules over a given ring.".
- Linear_map wikiPageID "18102".
- Linear_map wikiPageRevisionID "602223106".
- Linear_map hasPhotoCollection Linear_map.
- Linear_map subject Category:Abstract_algebra.
- Linear_map subject Category:Functions_and_mappings.
- Linear_map subject Category:Linear_algebra.
- Linear_map subject Category:Transformation_(function).
- Linear_map type Abstraction100002137.
- Linear_map type Function113783816.
- Linear_map type FunctionsAndMappings.
- Linear_map type MathematicalRelation113783581.
- Linear_map type Relation100031921.
- Linear_map comment "In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping V ↦ W between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication. An important special case is when V = W, in which case the map is called a linear operator, or an endomorphism of V.".
- Linear_map label "Aplicación lineal".
- Linear_map label "Application linéaire".
- Linear_map label "Lineaire afbeelding".
- Linear_map label "Linear map".
- Linear_map label "Lineare Abbildung".
- Linear_map label "Przekształcenie liniowe".
- Linear_map label "Transformação linear".
- Linear_map label "Trasformazione lineare".
- Linear_map label "Линейное отображение".
- Linear_map label "تحويل خطي".
- Linear_map label "線型写像".
- Linear_map label "线性映射".
- Linear_map sameAs Lineární_zobrazení.
- Linear_map sameAs Lineare_Abbildung.
- Linear_map sameAs Γραμμικός_μετασχηματισμός.
- Linear_map sameAs Aplicación_lineal.
- Linear_map sameAs Application_linéaire.
- Linear_map sameAs Trasformazione_lineare.
- Linear_map sameAs 線型写像.
- Linear_map sameAs 선형변환.
- Linear_map sameAs Lineaire_afbeelding.
- Linear_map sameAs Przekształcenie_liniowe.
- Linear_map sameAs Transformação_linear.
- Linear_map sameAs m.04lp8.
- Linear_map sameAs Q207643.
- Linear_map sameAs Q207643.
- Linear_map sameAs Linear_map.
- Linear_map wasDerivedFrom Linear_map?oldid=602223106.
- Linear_map isPrimaryTopicOf Linear_map.