a Gauss-Jordan elimináció:
  
           3        -1         2         1         0         0
           1        -3        -4         0         1         0
           2         2         5         0         0         1
  
           3        -1         2         1         0         0
           0      -8/3     -14/3      -1/3         1         0
           0       8/3      11/3      -2/3         0         1
  
           3        -1         2         1         0         0
           0      -8/3     -14/3      -1/3         1         0
           0         0        -1        -1         1         1
  
           3        -1         0        -1         2         2
           0      -8/3         0      13/3     -11/3     -14/3
           0         0         1         1        -1        -1
  
           3         0         0     -21/8      27/8      15/4
           0         1         0     -13/8      11/8       7/4
           0         0         1         1        -1        -1
  
           1         0         0      -7/8       9/8       5/4
           0         1         0     -13/8      11/8       7/4
           0         0         1         1        -1        -1