please solve and number accordingly

Show that the transformation T dened by T(x1, x2) = (3x1 - 4x2, x1 + 4, 4x2) is not linear. If T is a linear transformation, then T(D) = D and T(cu + dv) = cT(u) + dT(v) for all vectors u, v in the domain of T and all scalars c, d. Check if T(O) follows the correct property to be linear. T(0,0) = (3(0)-4(0), (0)+4.4(0)) Substitute. = (D,D.D) Simplify. What is true about T(D)? O A. T(0)=(1,1,1) o B. T(o)=o o c. T(0)=4 o D. T(0)#0 Therefore, T I::| linear. N 24 Let u = V= 4 , and w = - 28 . It can be shown that - 4u - 2v - w =0. Use this fact (and no row operations) to find x, and x2 that satisfy the equation 5 - 2 24 7 N 24 X1 5 4 E -28 X2 - 5 - 2 24 X1 X2 = (Simplify your answers.)2 10 Give a geometric description of Span {v1,v2} for the vectors v1 = 3 and v2 = 15 . -5 -25 Choose the correct answer below. 0 A. Span {V1,V2} cannot be determined with the given information. B. Span {v ,v } is the plane in R3 that contains v , v ,and 0. 1 2 1 2 O c. Span {V1.V2} is R3. 0 D. Span {V1,V2} is the set of points on the line through v1 and 0