a Gauss-Jordan elimináció:
  
          -2         1         4         1         0         0
           1         0         3         0         1         0
          -1         2        -3         0         0         1
  
          -2         1         4         1         0         0
           0       1/2         5       1/2         1         0
           0       3/2        -5      -1/2         0         1
  
          -2         1         4         1         0         0
           0       1/2         5       1/2         1         0
           0         0       -20        -2        -3         1
  
          -2         1         0       3/5      -3/5       1/5
           0       1/2         0         0       1/4       1/4
           0         0         1      1/10      3/20     -1/20
  
          -2         0         0       3/5    -11/10     -3/10
           0         1         0         0       1/2       1/2
           0         0         1      1/10      3/20     -1/20
  
           1         0         0     -3/10     11/20      3/20
           0         1         0         0       1/2       1/2
           0         0         1      1/10      3/20     -1/20