Decomposition matrices:
Matrix u
   -0.219236   -0.742923    0.558841
   -0.321266   -0.443608   -0.814382
   -0.423296   -0.144292    0.045120
   -0.525326    0.155023    0.117540
   -0.627356    0.454339    0.092880
Diagonal of matrix w
   16.701033    1.037092    0.000000
Matrix v-transpose
   -0.441275   -0.568002   -0.694730
    0.799131    0.103472   -0.592185
   -0.408248    0.816497   -0.408249

Check product against original matrix:
Original matrix:
    1.000000    2.000000    3.000000
    2.000000    3.000000    4.000000
    3.000000    4.000000    5.000000
    4.000000    5.000000    6.000000
    5.000000    6.000000    7.000000
Product u*w*(v-transpose):
    1.000001    2.000001    3.000000
    2.000000    3.000001    4.000001
    3.000000    4.000001    5.000001
    4.000001    5.000001    6.000001
    5.000000    6.000000    7.000000
***********************************
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Decomposition matrices:
Matrix u
   -0.363117   -0.641961    0.523447   -0.377809    0.198233
   -0.381646   -0.440410   -0.174588    0.601674   -0.517584
   -0.419648   -0.100586   -0.639804    0.021296    0.635591
   -0.479064    0.270818   -0.251817   -0.614293   -0.506347
   -0.562925    0.557195    0.471977    0.342695    0.180131
Diagonal of matrix w
   19.597635    3.185096    0.749886    0.385723    0.276932
Matrix v-transpose
   -0.363117   -0.381646   -0.419648   -0.479064   -0.562925
    0.641961    0.440409    0.100586   -0.270818   -0.557195
   -0.523447    0.174589    0.639804    0.251817   -0.471977
    0.377809   -0.601674   -0.021296    0.614293   -0.342695
   -0.198233    0.517584   -0.635591    0.506347   -0.180131

Check product against original matrix:
Original matrix:
    1.000000    2.000000    3.000000    4.000000    5.000000
    2.000000    2.000000    3.000000    4.000000    5.000000
    3.000000    3.000000    3.000000    4.000000    5.000000
    4.000000    4.000000    4.000000    4.000000    5.000000
    5.000000    5.000000    5.000000    5.000000    5.000000
Product u*w*(v-transpose):
    1.000000    2.000000    3.000000    4.000000    5.000001
    2.000000    2.000000    3.000000    4.000000    5.000001
    3.000001    3.000000    3.000000    3.999999    5.000001
    4.000000    4.000000    4.000000    3.999999    5.000001
    5.000000    5.000000    4.999999    4.999999    5.000001
***********************************
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Decomposition matrices:
Matrix u
   -0.403927   -0.123898    0.287702   -0.200315   -0.537524    0.640048
   -0.353729    0.373714    0.751239    0.209291    0.322161   -0.152517
   -0.457606    0.385934   -0.478084    0.601435   -0.226633   -0.001283
   -0.414094    0.321511   -0.200360   -0.714971   -0.088792   -0.407363
   -0.394852   -0.207079   -0.280703   -0.113860    0.732258    0.416233
   -0.418250   -0.741479    0.073238    0.173781   -0.108773   -0.477368
Diagonal of matrix w
   30.634527    9.954128    5.350265    4.867328    1.819681    1.119592
Matrix v-transpose
   -0.348552   -0.510097   -0.430995   -0.317609   -0.416918   -0.397315
    0.090927    0.540705    0.077793   -0.543460   -0.597330    0.202895
   -0.905129    0.134551    0.330645   -0.069389    0.146158    0.164723
    0.055301   -0.155486    0.687702    0.355621   -0.490215   -0.364766
   -0.212118    0.313933   -0.465454    0.686520   -0.384793    0.142930
    0.054152   -0.553720    0.096350    0.034405   -0.244206    0.787628

Check product against original matrix:
Original matrix:
    3.000000    5.300000    5.600000    3.500000    6.800000    5.700000
    0.400000    8.200000    6.700000    1.900000    2.200000    5.300000
    7.800000    8.300000    7.700000    3.300000    1.900000    4.800000
    5.500000    8.800000    3.000000    1.000000    5.100000    6.400000
    5.100000    5.100000    3.600000    5.800000    5.700000    4.900000
    3.500000    2.700000    5.700000    8.200000    9.600000    2.900000
Product u*w*(v-transpose):
    2.999997    5.299997    5.599997    3.499998    6.799994    5.699997
    0.399999    8.199994    6.699995    1.900000    2.199998    5.299995
    7.799994    8.299994    7.699996    3.300001    1.899999    4.799997
    5.499995    8.799995    2.999997    1.000000    5.099999    6.399997
    5.099997    5.099998    3.599998    5.799995    5.699995    4.899999
    3.499999    2.700001    5.699997    8.199992    9.599992    2.899999
***********************************
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