Review Exercises

  1. 1. 1×4

  2. 3. 3×2

  3. 5. a12=−1, a14=−4, a23=3, a21=5

  4. 7. [2−37316]

  5. 9. [1−21701210012]

  6. 11. [1001301012001−16]

  7. 13. {(2,−3,−1)}

  8. 15. {(3,−2,−3)}

  9. 17. {(5,−4, 1)}

  10. 19. {(2,−1,−13)}

  11. 21. {(2, 1)}

  12. 23.

    1. [3−1−810]

    2. [−152−2]

    3. [24−68]

    4. [−6915−18]

    5. [−4139−10]

  13. 25. X=[730−1938]

  14. 27. AB=[−34−1110], BA=[−2−489]

  15. 29. AB=[7], BA=[24−236−312−1]

  16. 31. [1023]

  17. 33. [−1322−52]

  18. 35.

    1. [3−110]

    2. [8−33−1]

    3. [8−33−1]

  19. 41. [25−110−15310]

  20. 43. [326112225]

  21. 45. {(−23, 10)}

  22. 47. {(−12, 2, 3)}

  23. 49. {(76, 16, 2)}

  24. 51. 23

  25. 53. 0

  26. 55.

    1. M12=8, M23=8, M22=−16

    2. A12=−8, A23=−8, A22=−16

  27. 57. 35

  28. 59. 6

  29. 61. {(1, 2)}

  30. 63. {(5, 6, 7)}

  31. 65. 2

  32. 67. They both satisfy the equation y=7x−11

  33. 69. Method 3

  34. 71. The speed of the plane is 520 miles per hour, and the velocity of the wind is 40 miles per hour.

  35. 73. Andrew has $170, Bonnie has $65, and Chauncie has $85.

  36. 75. 30 registered nurses, 40 licensed practical nurses, and 60 nurse’s aides

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