- 3 2 - 4 Let A = - 3 4 -1 and b = 4 Define a transformation T: RS -R by T(x) = Ax. If possible, find a vector x whose image under T is b. Otherwise, state that b is not in the range of the transformation 2 -5 3 T. .. O A. - 8 - 4 O B. A O A O C. 4 O O D. b is not in the range of the transformation T.\f2-5 3 -2 Describe all solutions of Ax = b, where A = - 2 6 - 5 and b = 8 . Describe the general solution in parametric vector form. - 4 7 O - 14 O A C) B "1 - 2 - 1 "1 7 l 2 14 x2 = 5 + x3 2 X2 = 2 1' X3 6 x3 0 1 x3 1 0 O C O D "1 14 7 I 2 "1 14 7 I 2 X2 = 6 +X3 2 X2 = 6 + X3 2 0 0 O 1 1 3 2 Let v, = -3 , V2 = 8 V3 = - 2 Determine if the set {v1, V2, V3) is linearly independent. 7 2 5 O No O YesFind the standard matrix of the linear transformation T. 3 T: R2 -R2 rotates points (about the origin) through -It radians (with counterclockwise rotation for a positive angle). O A. 1/2 13 2 2 O B. 12 W 1/3 12 2 2 2 2 13 N O C. 1/2 1/2 2 2 2 2 OD. 12 12 1/2 12 2 2 2 2 12 2 2