[0, 4, 5, 1, 0, 0]
[1, 2, 2, 0, 1, 0]
[3, 0, 6, 0, 0, 1]
I und II tauschen
[1, 2, 2, 0, 1, 0]
[0, 4, 5, 1, 0, 0]
[3, 0, 6, 0, 0, 1]
III - 3*I
[1, 2, 2, 0, 1, 0]
[0, 4, 5, 1, 0, 0]
[0, -6, 0, 0, -3, 1]
2*III + 3*II
[1, 2, 2, 0, 1, 0]
[0, 4, 5, 1, 0, 0]
[0, 0, 15, 3, -6, 2]
3*II - III ; 15*I - 2*III
[15, 30, 0, -6, 27, -4]
[0, 12, 0, 0, 6, -2]
[0, 0, 15, 3, -6, 2]
2*I - 5*II
[30, 0, 0, -12, 24, 2]
[0, 12, 0, 0, 6, -2]
[0, 0, 15, 3, -6, 2]
I/30 ; II/12 ; III/15
[1, 0, 0, - 2/5, 4/5, 1/15]
[0, 1, 0, 0, 1/2, - 1/6]
[0, 0, 1, 1/5, - 2/5, 2/15]