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

Question #22436

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

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

Expert's answer

Such linear transformation is a linear functional due to it is a mapping

in the field of scalars F. Hence

Answer C.

in the field of scalars F. Hence

Answer C.

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