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 (rows 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 (rows 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 (rows 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 (rows unscrambled):
    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

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    9.357336    4.347537
    0.000000    0.000000    0.000000    0.000000    3.088946

***********************************
press return for next problem: