a Gauss-Jordan elimináció:
  
           2         2         3         1         0         0
           1        -1         0         0         1         0
          -1         2         1         0         0         1
  
           2         2         3         1         0         0
           0        -2      -3/2      -1/2         1         0
           0         3       5/2       1/2         0         1
  
           2         2         3         1         0         0
           0        -2      -3/2      -1/2         1         0
           0         0       1/4      -1/4       3/2         1
  
           2         2         0         4       -18       -12
           0        -2         0        -2        10         6
           0         0         1        -1         6         4
  
           2         0         0         2        -8        -6
           0         1         0         1        -5        -3
           0         0         1        -1         6         4
  
           1         0         0         1        -4        -3
           0         1         0         1        -5        -3
           0         0         1        -1         6         4