Exercises 16.3, page 452

  1. 1.  [  − 5232 − 21 ] 

  2. 3.  [ 23211 ] 

  3. 5.  [  − 1316215130 ] 

  4. 7.  [ 3412 − 140 ] 

  5. 9.  [  − 533 − 32213165111 ] 

  6. 11.  [ 5 − 2 − 21 ] 

  7. 13.  [  − 12 − 2121 ] 

  8. 15.  [ 2 − 51 − 2 ] 

  9. 17.  [  − 18 − 75 − 3 − 11 − 5 − 21 ] 

  10. 19.  [ 2472 − 1 − 2 − 321112 ] 

  11. 21.  [  − 1.52 − 0.250.5 ] 

  12. 23.  [ 243.5 − 1 − 2 − 1.5110.5 ] 

  13. 25.  [ 2.5 − 2 − 2 − 1111.75 − 1.5 − 1 ] 

  14. 27.  [ 1231133224331111 ] 

  15. 29.  [ 11146.510 ] 

  16. 31.  [  − 414 − 1129 ] 

  17. 33.  [ 17 − 1766 − 52 − 2529 − 11 ] 

  18. 35.  | 1111 |  = 0 means the inverse does not exist.

  19. 37. 1ad − bc  [ ad − bc − ba + abcd − dc − bc + ad ]  =  [ 1001 ] 

  20. 39. (1 ,   − 1) ,  ( − 1 ,  1) ,  (1 ,  1)

  21. 41.

    v1 = (a22i1 − a12i2) / (a11a22 − a12a21)v2 = ( − a21i1 + a11i2) / (a11a22 − a12a21)

  22. 43. MATH CAN BE ...

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