Solution vector:
     x[1] =   1322.117432
     x[2] =  -2462.228516
     x[3] =   1447.857666
     x[4] =   -287.745850
     x[5] =     12.487395

Test of solution:
    mtrx*soln     original
      0.1001       0.1000
      0.2000       0.2000
      0.3000       0.3000
      0.4000       0.4000
      0.5000       0.5000