=
1 2 0 0 1 0 0 0
0 3 0 0 0 1 0 0
0 0 2 0 0 0 1 0
0 0 3 4 0 0 0 1
=
1 2 0 0 1 0 0 0
0 3 0 0 0 1 0 0
0 0 2 0 0 0 1 0
0 0 0 4 0 0 -3/2 1
=
1 2 0 0 1 0 0 0
0 1 0 0 0 1/3 0 0
0 0 1 0 0 0 1/2 0
0 0 0 1 0 0 -3/8 1/4
=
1 0 0 0 1 -2/3 0 0
0 1 0 0 0 1/3 0 0
0 0 1 0 0 0 1/2 0
0 0 0 1 0 0 -3/8 1/4
A^(- 1) =
1 -2/3 0 0
0 1/3 0 0
0 0 1/2 0
0 0 -3/8 1/4