Chapter 2 Exam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the system of equations. 1) x1 - x2 + 3x3 = -8 2x1 + x3 = 0 x1 + 5x2 + x3 = 40
A) (0, 8, 0)
B) (0, -8, -8)
C) (8, 8, 0)
D) (-8, 0, 0)
B) (0, 6, -1)
C) (3, 0, -4)
D) (-3, 0, 4)
Answer: A 2) 5x1 + 2x2 + x3 = -11 2x1 - 3x2 - x3 = 17 7x1 + x 2 + 2x3 = -4
A) (0, -6, 1)
Answer: A Determine whether the system is consistent. 3) x1 + x2 + x3 = 7 x1 - x2 + 2x3 = 7 5x1 + x 2 + x3 = 11 A) No
B) Yes
Answer: B 4) 4x1 - x 2 + 3x3 = 12 2x1 + 9x3 = -5
x1 + 4x 2 + 6x3 = -32
A) No
B) Yes
Answer: B 5) 2x1 + x 2 = 0 x1 - 3x 2 + x3 = 0 3x1 + x 2 - x3 = 0
A) Yes
B) No
Answer: A 6) x1 - x2 + 4x3 = -15
-5x1 + 5x2 - 20x3 = -4 x1 + 3x2
A) No
+ x3 = -1
B) Yes
Answer: A
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