Chapter 16

  1. 1. A =  [ 3 − 1420 − 2 ] B =  [ 145 − 1 − 23 ] 2B =  [ 2810 − 2 − 46 ] 

    A − 2B =  [ 3 − 2 − 1 − 84 − 102 + 20 + 4 − 2 − 6 ]  =  [ 1 − 9 − 644 − 8 ] 

  2. 2.  [ 2xx − yzx + z2yy + z ]  =  [ 6 − 24abc ] 

    2x = 6x − y =  − 2z = 4x = 33 − y =  − 2y = 5x + z = a2y = by + z = c3 + 4 = a2(5) = b5 + 4 = ca = 7b = 10c = 9

  3. 3. CD =  [ 1042 − 21 − 132 ]  [ 2 − 24 − 561 ]  =  [ 2 + 0 + 24 − 2 + 0 + 44 − 8 + 6 − 4 + 10 + 1 − 2 + 12 + 122 − 15 + 2 ]  =  [ 2622722 − 11 ] DC =  [ 2 − 24 − 561 ]  [ 1042 − 21 − 132 ] not defined, since Dhas 2 columns andC has 3 rows

  4. 4. A =  [ 2 − 51 − 2 ] B =  [  − 25 − 12 ] AB =  [ 2 − 51 − 2 ]  [  − 25 − 12 ]  =  [  − 4 + 510 − 10 − 2 + 25 − 4 ]  =  [ 1001 ]  = IBA =  [  − 25 − 12 ]  [ 2 − 51 − 2 ]  =  [  − 4 + 510 − 

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