3. (5%) Which of the following is true?
(A) Every function from Rnto Rm, T : Rn →Rm, has a standard matrix A such thatT(x) = Ax for all
(B) The metrix transformation induced by an m x n matrix A
(C) The image of the zero vector under any linear transformation is the zero vector.
(D) A function T : Rn -→ Rm is uniquely determined by the images of the standard vectorsin its domain.
(E) If f is a linear transformation and f(u) = f(v), then u -v.