Original matrix:
    3.0    0.0    1.0    0.0    0.0
    0.0    4.0    0.0    0.0    0.0
    0.0    7.0    5.0    9.0    0.0
    0.0    0.0    0.0    0.0    2.0
    0.0    0.0    0.0    6.0    5.0
 Transpose:
    3.0    0.0    0.0    0.0    0.0
    0.0    4.0    7.0    0.0    0.0
    1.0    0.0    5.0    0.0    0.0
    0.0    0.0    9.0    0.0    6.0
    0.0    0.0    0.0    2.0    5.0