9请解答图中计算题:请写出主要步骤
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9请解答图中计算题:请写出主要步骤
![](http://img.wesiedu.com/upload/d/d7/dd7e341d786386e908aa6aaf8e8ab556.jpg)
![](http://img.wesiedu.com/upload/d/d7/dd7e341d786386e908aa6aaf8e8ab556.jpg)
(A,E) =
1 2 3 4 1 0 0 0
0 1 2 3 0 1 0 0
0 0 1 2 0 0 1 0
0 0 0 1 0 0 0 1
r1-4r4,r2-3r4,r3-2r4
1 2 3 0 1 0 0 -4
0 1 2 0 0 1 0 -3
0 0 1 0 0 0 1 -2
0 0 0 1 0 0 0 1
r1-3r2,r1-2r2
1 2 0 0 1 0 -3 2
0 1 0 0 0 1 -2 1
0 0 1 0 0 0 1 -2
0 0 0 1 0 0 0 1
r1-2r2
1 0 0 0 1 -2 1 0
0 1 0 0 0 1 -2 1
0 0 1 0 0 0 1 -2
0 0 0 1 0 0 0 1
A^-1 =
1 -2 1 0
0 1 -2 1
0 0 1 -2
0 0 0 1
1 2 3 4 1 0 0 0
0 1 2 3 0 1 0 0
0 0 1 2 0 0 1 0
0 0 0 1 0 0 0 1
r1-4r4,r2-3r4,r3-2r4
1 2 3 0 1 0 0 -4
0 1 2 0 0 1 0 -3
0 0 1 0 0 0 1 -2
0 0 0 1 0 0 0 1
r1-3r2,r1-2r2
1 2 0 0 1 0 -3 2
0 1 0 0 0 1 -2 1
0 0 1 0 0 0 1 -2
0 0 0 1 0 0 0 1
r1-2r2
1 0 0 0 1 -2 1 0
0 1 0 0 0 1 -2 1
0 0 1 0 0 0 1 -2
0 0 0 1 0 0 0 1
A^-1 =
1 -2 1 0
0 1 -2 1
0 0 1 -2
0 0 0 1