Solution vector:
     X(1) =  0.132212E+04
     X(2) = -0.246223E+04
     X(3) =  0.144786E+04
     X(4) = -0.287746E+03
     X(5) =  0.124874E+02

 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