[1, -1, 0, 1, 0, 0]
[2, 1, 2, 0, 1, 0]
[3, 0, 1, 0, 0, 1]
II - 2*I ; III - 3*I
[1, -1, 0, 1, 0, 0]
[0, 3, 2, -2, 1, 0]
[0, 3, 1, -3, 0, 1]
III - II
[1, -1, 0, 1, 0, 0]
[0, 3, 2, -2, 1, 0]
[0, 0, -1, -1, -1, 1]
II + 2*III
[1, -1, 0, 1, 0, 0]
[0, 3, 0, -4, -1, 2]
[0, 0, -1, -1, -1, 1]
3*I + II
[3, 0, 0, -1, -1, 2]
[0, 3, 0, -4, -1, 2]
[0, 0, -1, -1, -1, 1]
Normieren
[1, 0, 0, - 1/3, - 1/3, 2/3]
[0, 1, 0, - 4/3, - 1/3, 2/3]
[0, 0, 1, 1, 1, -1]