A=(1,-1,1,3,0,3,-1,2,0)逆矩阵怎么求?
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(A,E) =
1 -1 1 1 0 0
3 0 3 0 1 0
-1 2 0 0 0 1
r2*(1/3),r1-r2,r3+r2
0 -1 0 1 -1/3 0
1 0 1 0 1/3 0
0 2 1 0 1/3 1
r3+2r1,r1*(-1)
0 1 0 -1 1/3 0
1 0 1 0 1/3 0
0 0 1 2 -1/3 1
r2-r3
0 1 0 -1 1/3 0
1 0 0 -2 2/3 -1
0 0 1 2 -1/3 1
r1r2
1 0 0 -2 2/3 -1
0 1 0 -1 1/则昌3 0
0 0 1 2 -1/咐毕3 1
所孙简扒以 A^-1 =
-2 2/3 -1
-1 1/3 0
2 -1/3 1
1 -1 1 1 0 0
3 0 3 0 1 0
-1 2 0 0 0 1
r2*(1/3),r1-r2,r3+r2
0 -1 0 1 -1/3 0
1 0 1 0 1/3 0
0 2 1 0 1/3 1
r3+2r1,r1*(-1)
0 1 0 -1 1/3 0
1 0 1 0 1/3 0
0 0 1 2 -1/3 1
r2-r3
0 1 0 -1 1/3 0
1 0 0 -2 2/3 -1
0 0 1 2 -1/3 1
r1r2
1 0 0 -2 2/3 -1
0 1 0 -1 1/则昌3 0
0 0 1 2 -1/咐毕3 1
所孙简扒以 A^-1 =
-2 2/3 -1
-1 1/3 0
2 -1/3 1
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