Answer to Question #22433 in Linear Algebra for Aaron Okievs.

Question

Let U and V be vector spaces over a field F,a function T:U→V
such that
T(u1+u2)=T(u1)+T(u2), for u1,u2∈U and T(αu)=αT(u) for α∈F and u∈U
is called a ………….

(A) Vector space
(B) Transformation
(C) Linear transformation
(D) Nullity