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

Question #22433

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

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

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