Inverse mit dem Gauß-Jordan-Verfahren
[1, 1, 2, 1, 0, 0]
[2, 1, 1, 0, 1, 0]
[-1, 1, 3, 0, 0, 1]
II - 2*I ; III + I
[1, 1, 2, 1, 0, 0]
[0, -1, -3, -2, 1, 0]
[0, 2, 5, 1, 0, 1]
III + 2*II
[1, 1, 2, 1, 0, 0]
[0, -1, -3, -2, 1, 0]
[0, 0, -1, -3, 2, 1]
-II, -III
[1, 1, 2, 1, 0, 0]
[0, 1, 3, 2, -1, 0]
[0, 0, 1, 3, -2, -1]
I - 2*III ; II - 3*III
[1, 1, 0, -5, 4, 2]
[0, 1, 0, -7, 5, 3]
[0, 0, 1, 3, -2, -1]
I - II
[1, 0, 0, 2, -1, -1]
[0, 1, 0, -7, 5, 3]
[0, 0, 1, 3, -2, -1]
Fertig