Definition of "linear"
linear
/ˈlɪn.i.ɚ/
adjective
comparative more linear, superlative most linear
(mathematics) (of polynomials or polynomial equations)
(mathematics) (of functions or maps)
(of a function between vector spaces) An additive, homogeneous mapping; that is, a function f : V → W is linear if it distributes over vector addition ( f ( v + w ) = f ( v ) + f ( w ) ) and respects scalar multiplication ( f ( c v ) = c f ( v ) ). If V and W are vector spaces over a field K , f may also be called a K {\displaystyle K} -linear map. See also linear map on Wikipedia.Wikipedia
(of a function over a module) A module homomorphism; that is, a group homomorphism that commutes with scalar multiplication. See also Module homomorphism on Wikipedia.Wikipedia