Original matrix:
     1.000000    0.000000    0.000000
     0.000000    2.000000    0.000000
     0.000000    0.000000    3.000000
 Product of lower and upper matrices (unscrambled):
     1.000000    0.000000    0.000000
     0.000000    2.000000    0.000000
     0.000000    0.000000    3.000000
 Lower matrix of the decomposition:
     1.000000    0.000000    0.000000
     0.000000    1.000000    0.000000
     0.000000    0.000000    1.000000
 Upper matrix of the decomposition:
     1.000000    0.000000    0.000000
     0.000000    2.000000    0.000000
     0.000000    0.000000    3.000000
 ***********************************
 Press RETURN for next problem:
 Original matrix:
     1.000000    2.000000    3.000000
     2.000000    2.000000    3.000000
     3.000000    3.000000    3.000000
 Product of lower and upper matrices (unscrambled):
     1.000000    2.000000    3.000000
     2.000000    2.000000    3.000000
     3.000000    3.000000    3.000000
 Lower matrix of the decomposition:
     1.000000    0.000000    0.000000
     0.333333    1.000000    0.000000
     0.666667    0.000000    1.000000
 Upper matrix of the decomposition:
     3.000000    3.000000    3.000000
     0.000000    1.000000    2.000000
     0.000000    0.000000    1.000000
 ***********************************
 Press RETURN for next problem:
 Original matrix:
     1.000000    2.000000    3.000000    4.000000    5.000000
     2.000000    3.000000    4.000000    5.000000    1.000000
     3.000000    4.000000    5.000000    1.000000    2.000000
     4.000000    5.000000    1.000000    2.000000    3.000000
     5.000000    1.000000    2.000000    3.000000    4.000000
 Product of lower and upper matrices (unscrambled):
     1.000000    2.000000    3.000000    4.000000    5.000000
     2.000000    3.000000    4.000000    5.000000    1.000000
     3.000000    4.000000    5.000000    1.000000    2.000000
     4.000000    5.000000    1.000000    2.000000    3.000000
     5.000000    1.000000    2.000000    3.000000    4.000000
 Lower matrix of the decomposition:
     1.000000    0.000000    0.000000    0.000000    0.000000
     0.800000    1.000000    0.000000    0.000000    0.000000
     0.600000    0.809524    1.000000    0.000000    0.000000
     0.400000    0.619048    0.833333    1.000000    0.000000
     0.200000    0.428571    0.666667    0.875000    1.000000
 Upper matrix of the decomposition:
     5.000000    1.000000    2.000000    3.000000    4.000000
     0.000000    4.200000   -0.600000   -0.400000   -0.200000
     0.000000    0.000000    4.285714   -0.476190   -0.238095
     0.000000    0.000000    0.000000    4.444444   -0.277778
     0.000000    0.000000    0.000000    0.000000    4.687500
 ***********************************
 Press RETURN for next problem:
 Original matrix:
     1.400000    2.100000    2.100000    7.400000    9.600000
     1.600000    1.500000    1.100000    0.700000    5.000000
     3.800000    8.000000    9.600000    5.400000    8.800000
     4.600000    8.200000    8.400000    0.400000    8.000000
     2.600000    2.900000    0.100000    9.600000    7.700000
 Product of lower and upper matrices (unscrambled):
     1.400000    2.100000    2.100000    7.400001    9.600000
     1.600000    1.500000    1.100000    0.700000    5.000000
     3.800000    8.000000    9.600000    5.400000    8.800000
     4.600000    8.200000    8.400000    0.400000    8.000000
     2.600000    2.900000    0.100000    9.600000    7.700000
 Lower matrix of the decomposition:
     1.000000    0.000000    0.000000    0.000000    0.000000
     0.347826    1.000000    0.000000    0.000000    0.000000
     0.565217    1.282958    1.000000    0.000000    0.000000
     0.826087   -0.906752   -0.436683    1.000000    0.000000
     0.304348    0.292605   -0.033120    0.790907    1.000000
 Upper matrix of the decomposition:
     4.600000    8.200000    8.400000    0.400000    8.000000
     0.000000   -1.352174   -1.821739    0.560870    2.217391
     0.000000    0.000000   -2.310611    8.654342    0.333441
     0.000000    0.000000    0.000000    9.357337    4.347537
     0.000000    0.000000    0.000000    0.000000    3.088946
 ***********************************
 Press RETURN for next problem: