矩阵A=(-1,0,0;0,1,2;0,2,3)
令A=
-1 0 0 1 0 0
0 1 2 0 1 0
0 2 3 0 0 1
→
1 0 0 -1 0 0
0 1 2 0 1 0
0 0 -1 0 -2 1
→
1 0 0 -1 0 0
0 1 0 0 -3 2
0 0 1 0 2 -1
所以A的逆为
-1 0 0
0 -3 2
0 2 -1
矩阵A=(-1,0,0;0,1,2;0,2,3)
令A=
-1 0 0 1 0 0
0 1 2 0 1 0
0 2 3 0 0 1
→
1 0 0 -1 0 0
0 1 2 0 1 0
0 0 -1 0 -2 1
→
1 0 0 -1 0 0
0 1 0 0 -3 2
0 0 1 0 2 -1
所以A的逆为
-1 0 0
0 -3 2
0 2 -1