a Gauss-Jordan elimináció:
  
          -1         2         1         1         0         0
           2        -3         1         0         1         0
           1         1         2         0         0         1
  
          -1         2         1         1         0         0
           0         1         3         2         1         0
           0         3         3         1         0         1
  
          -1         2         1         1         0         0
           0         1         3         2         1         0
           0         0        -6        -5        -3         1
  
          -1         2         0       1/6      -1/2       1/6
           0         1         0      -1/2      -1/2       1/2
           0         0         1       5/6       1/2      -1/6
  
          -1         0         0       7/6       1/2      -5/6
           0         1         0      -1/2      -1/2       1/2
           0         0         1       5/6       1/2      -1/6
  
           1         0         0      -7/6      -1/2       5/6
           0         1         0      -1/2      -1/2       1/2
           0         0         1       5/6       1/2      -1/6