Which of the following mappings does not define a linear transformation A: R^3 -> R^2?

Let U(r, y) = (2x+ 3)(y+5). Select the correct expressions for Uz and Uy: (A). Uz = 2x +3. (B). Uy = 2x +3. (C). Uz = 2y+ 10. (D). Uy = y +5. What are the values of Uz and Uy at r= 3 and y = 2? (E). Uz(3, 2) = 9, Uy(3, 2) = 7. (F). Uz(3, 2) = 14, Uy(3, 2) = 9 |3| What is AU, the approximate change of U, if z increases by 1 unit from z= 3 and y decreases by 1 unit from y = 2? (G) AU =-5 (H). AU = 5. (1) AU 2. Calcul..mp4 carch B3D

T:(x, y) → (x, y - 2). What is the image of (5, 3) by T? a. (3, 3) b. (5. 1) с. (3, 5) d. (5, 5)

V=(y,2y,0) and w=(x-y,x+y,0)