Definitions for "Codomain"
The codomain of a linear transformation is the vector space which contains the vectors resulting from the transformation's action. Thus, if T(v) = w, then v is a vector in the domain and w is a vector in the range, which in turn is contained in the codomain. Examples: The codomain of the transformation T:R3→R5 is R5 The matrix A=[1,2;2,1;1,1] (three rows and two columns) induces a linear map from R2 to R3, with domain R3
Keywords:  mathematics, function, set
In mathematics, the codomain of a function f : X → Y is the set Y.