Answer to Question #22436 in Linear Algebra for Aaron Okievs.

Question

A linear tansformation T:U→F is a called a ........ if
T(α1u1+α2u2)=α1T(u1)+α2T(u2), for α1α2∈F and u1u2∈U.

(A) linear dimensional
(B) linear function
(C) linear functional
(D) linear dimension

Answer 1

Such linear transformation is a linear functional due to it is a mapping
in the field of scalars F. Hence
Answer C.