(A,E) =
3/5 -2/5 1/5 1 0 0
2 1/2 1/3 0 1 0
-3 2 -1/4 0 0 1
r1*5,r2*6,r3*4
3 -2 1 5 0 0
12 3 2 0 6 0
-12 8 -1 0 0 4
r3+r2,r2-4r1
3 -2 1 5 0 0
0 11 -2 -20 6 0
0 11 1 0 6 4
r3-r2
3 -2 1 5 0 0
0 11 -2 -20 6 0
0 0 3 20 0 4
r1*(1/3),r2*(1/11),r3*(1/3)
1 -2/3 1/3 5/3 0 0
0 1 -2/11 -20/11 6/11 0
0 0 1 20/3 0 4/3
r1-(1/3)r3,r2+(2/11)r3
1 -2/3 0 -5/9 0 -4/9
0 1 0 -20/33 6/11 8/33
0 0 1 20/3 0 4/3
r1+(2/3)r2
1 0 0 -95/99 4/11 -28/99
0 1 0 -20/33 6/11 8/33
0 0 1 20/3 0 4/3
A^-1 =
-95/99 4/11 -28/99
-20/33 6/11 8/33
20/3 0 4/3