Circle the letter of your choice Each problem has only one c

Circle the letter of your choice. Each problem has only one correct answer, worth 5 point. Do at least 24 of the 27 problems to make a maximum of 120 points. What is the solution of the systems {x_1 + x_2 + 3x_3 + x_4 = -4 2x_1 - x_2 + 6x_3 + 2x_4 = -5 -x_3 + x_2 - 2x_3 - x_4 = 3 x_1 = 2 + x_4, x_2 = 6x_4, x_3 = x_4 and x_4 is free. X_1 = 2 - x_4 and x_2, x_3, x_4 are free. X_1 = 2 - x_4, x_2 = 3, x_3 = -1 and x_4 is free. Nont of the above. What are the conditions b_1, b_2, b_3 must satisfy so that the system {x_1 + x_2 + x_3 = b_1 -2x_1 + 3x_2 - x_3 = b_2 3x_1 + 4x_2 + 7x_3 = b_3 is consistent. b_1 = b_2 = b_3 = 2 b_1 = b_2 + b_3 b_3 = 5b_1 + 3b_3 None of the above Let u = [1 -3 2], v = [-2 4 -5],and w = [3 5h h + 2]. For what value(s) of h is w in the linear span of u and v. h = -17/7 h = -1/3 h = -17/3 None of the above

Solution

1) answer c

2) answer d

3) answer d