916 CHAPTER 9 Systems and Matrices 33. 3 -2 0 0 0 1 0 1 0 -13 34. 3 0 -1 0 0 0 -1 -1 1 03 35. 3 22 1 -5 4 -2525 0 7 13 36. 3 2327 5 1 4 0 0 -1 -273 37. 3 0.4 0.3 3.1 -0.8 0.9 4.1 0.6 0.7 -2.83 38. 3 -0.3 2.5 -0.1 -0.1 4.9 0.4 0.9 -3.2 0.83 Use the determinant theorems and the fact that 3 1 2 3 4 5 6 7 9 103 = 3 to evaluate each determinant. 39. 3 4 5 6 1 2 3 7 9 103 40. 3 3 2 1 6 5 4 10 9 73 41. 3 5 10 15 4 5 6 7 9 103 42. 3 1 20 3 4 50 6 7 90 103 43. 3 1 2 3 4 5 6 8 11 133 44. 3 1 2 0 4 5 -6 7 9 -113 Use the determinant theorems to evaluate each determinant. See Example 4. 45. 3 1 1 3 0 0 0 0 1 03 46. 3 -1 4 0 2 -8 0 4 -16 03 47. 3 6 -1 4 8 0 0 -12 2 -83 48. 3 4 -1 2 8 -2 4 0 1 33 49. 3 -4 2 0 1 0 2 4 1 43 50. 3 6 1 5 3 0 7 2 2 33 51. 3 0 1 -3 7 5 2 1 -2 63 52. 3 7 9 -3 7 -6 2 8 1 03 53. 3 1 6 7 0 6 7 0 0 93 54. 3 7 0 0 1 6 0 4 2 43 55. 3 2 -1 3 6 4 10 4 5 73 56. 3 9 1 7 12 5 2 11 4 33 57. 4 -1 0 2 3 5 4 -3 7 8 2 9 -5 4 4 -1 104 58. 4 5 1 4 2 4 -3 7 -4 5 8 -3 6 9 9 0 84 59. 4 4 -1 2 0 0 0 4 0 0 3 0 1 2 0 1 24 60. 4 -2 3 0 9 0 6 0 0 4 0 0 2 2 4 3 -14 61. 4 3 0 -6 -7 -6 2 4 3 5 -1 2 1 -1 3 0 14 62. 4 4 2 -5 0 5 -3 1 -2 -1 1 3 1 -1 0 9 54
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