Test Bank for Linear Algebra and its Applications, 6th

Test Bank for Linear Algebra and its Applications, 6th Edition Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the system of equations. 1) x 1) 1 - x2 + 3x3 = -8 2x1 + x3 = 0 x1 + 5x2 + x3 = 40 A) (8, 8, 0) B) (0, -8, -8) C) (-8, 0, 0) D) (0, 8, 0) 2) x 2) 1 + 3x2 + 2x3 = 11 4x2 + 9x3 = -12 x3 = -4 A) (1, -4, 6) B) (-4, 1, 6) C) (-4, 6, 1) D) (1, 6, -4) 3) x 3) 1 - x2 + 8x3 = -107 6x1 + x3 = 17 3x2 - 5x3 = 89 A) (5, -8, -13) B) (5, 8, -13) C) (-5, -8, 13) D) (-5, 8, 13) 4) 4x 4) 1 - x2 + 3x3 = 12 2x1 + 9x3 = -5 x1 + 4x2 + 6x3 = -32 A) (2, 7, -1) B) (2, 7, 1) C) (2, -7, 1) D) (2, -7, -1) 5) x 5) 1 + x2 + x3 = 6 x1 - x3 = -2 x2 + 3x3 = 11 A) (0, 1, 2) B) No solution C) (1, 2, 3) D) (-1, 2, -3) 6) x 6) 1 + x2 + x3 = 7 x1 - x2 + 2x3 = 7 5x1 + x2 + x3 = 11 A) (4, 1, 2) B) (4, 2, 1) C) (1, 4, 2) D) (1, 2, 4) 1 7) x 7) 1 - x2 + x3 = 8 x1 + x2 + x3 = 6 x1 + x2 - x3 = -12 A) (2, -1, -9) B) (2, -1, 9) C) (-2, -1, 9) D) (-2, -1, -9) 8) 5x 8) 1 + 2x2 + x3 = -11 2x1 - 3x2 - x3 = 17 7x1 + x2 + 2x3 = -4 A) (3, 0, -4) B) (0, 6, -1) C) (-3, 0, 4) D) (0, -6, 1) 9) 7x 9) 1 + 7x2 + x3 = 1 x1 + 8x2 + 8x3 = 8 9x1 + x2 + 9x3 = 9 A) (0, 1, 0) B) (0, 0, 1) C) (1, -1, 1) D) (-1, 1, 1) 10) 2x 10) 1 + x2 = 0 x1 - 3x2 + x3 = 0 3x1 + x2 - x3 = 0 A) (0, 1, 0) B) (0, 0, 0) C) No solution D) (1, 0, 0) Determine whether the system is consistent. 11) x 11) 1 + x2 + x3 = 7 x1 - x2 + 2x3 = 7 5x1 + x2 + x3 = 11 A) No B) Yes 12) 5x 12) 1 + 2x2 + x3 = -11 2x1 - 3x2 - x3 = 17 7x1 + x2 + 2x3 = -4 A) No B) Yes 13) 4x 13) 1 - x2 + 3x3 = 12 2x1 + 9x3 = -5 x1 + 4x2 + 6x3 = -32 A) Yes B) No 14) 2x 14) 1 + x2 = 0 x1 - 3x2 + x3 = 0 3x1 + x2 - x3 = 0 A) Yes B) No 2 15) x