[a - 2, a + 3, 2, -1, 1, 0, 0, 0]
[a + 2, 2 - 2·a, -a, 1, 0, 1, 0, 0]
[-1, 2, 1, 0, 0, 0, 1, 0]
[1, 1, 0, 1, 0, 0, 0, 1]
[1, 1, 0, 1, 0, 0, 0, 1]
[-1, 2, 1, 0, 0, 0, 1, 0]
[a + 2, 2 - 2·a, -a, 1, 0, 1, 0, 0]
[a - 2, a + 3, 2, -1, 1, 0, 0, 0]
I+II, (a+2)*I - III, (a-2)*I - IIII
[1, 1, 0, 1, 0, 0, 0, 1]
[0, 3, 1, 1, 0, 0, 1, 1]
[0, 3·a, a, a + 1, 0, -1, 0, a + 2]
[0, -5, -2, a - 1, -1, 0, 0, a - 2]
a*II - III, 5*II + 3*IIII
[1, 1, 0, 1, 0, 0, 0, 1]
[0, 3, 1, 1, 0, 0, 1, 1]
[0, 0, 0, -1, 0, 1, a, -2]
[0, 0, -1, 3·a + 2, -3, 0, 5, 3·a - 1]
[1, 1, 0, 1, 0, 0, 0, 1]
[0, 3, 1, 1, 0, 0, 1, 1]
[0, 0, -1, 3·a + 2, -3, 0, 5, 3·a - 1]
[0, 0, 0, -1, 0, 1, a, -2]
I + IIII, II + IIII, III + (3*a+2)*IIII
[1, 1, 0, 0, 0, 1, a, -1]
[0, 3, 1, 0, 0, 1, a + 1, -1]
[0, 0, -1, 0, -3, 3·a + 2, 3·a^2 + 2·a + 5, - 3·a - 5]
[0, 0, 0, -1, 0, 1, a, -2]
II + III
[1, 1, 0, 0, 0, 1, a, -1]
[0, 3, 0, 0, -3, 3·a + 3, 3·a^2 + 3·a + 6, - 3·a - 6]
[0, 0, -1, 0, -3, 3·a + 2, 3·a^2 + 2·a + 5, - 3·a - 5]
[0, 0, 0, -1, 0, 1, a, -2]
Schon mal normieren
[1, 1, 0, 0, 0, 1, a, -1]
[0, 1, 0, 0, -1, a + 1, a^2 + a + 2, -a - 2]
[0, 0, 1, 0, 3, - 3·a - 2, - 3·a^2 - 2·a - 5, 3·a + 5]
[0, 0, 0, 1, 0, -1, -a, 2]
I - II
[1, 0, 0, 0, 1, -a, - a^2 - 2, a + 1]
[0, 1, 0, 0, -1, a + 1, a^2 + a + 2, -a - 2]
[0, 0, 1, 0, 3, - 3·a - 2, - 3·a^2 - 2·a - 5, 3·a + 5]
[0, 0, 0, 1, 0, -1, -a, 2]
Damit lautet die Inverse hoffentlich
[1, -a, - a^2 - 2, a + 1]
[-1, a + 1, a^2 + a + 2, -a - 2]
[3, - 3·a - 2, - 3·a^2 - 2·a - 5, 3·a + 5]
[0, -1, -a, 2]
Man macht hier aber sehr leicht Rechenfehler. Gerade wenn man das am PC tippt.