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问题: 逆矩阵求解

如图

解答:

1 -4 -3 1 0 0

1 -5 -3 0 1 0

-1 6 4 0 0 1

R2+R3:
1 -4 -3 1 0 0

0 1 1 0 1 1

-1 6 4 0 0 1
R3+R1:
1 -4 -3 1 0 0

0 1 1 0 1 1

0 2 1 1 0 1
R3-2R2
1 -4 -3 1 0 0

0 1 1 0 1 1

0 0 -1 1 -2 -1
R2+R3
1 -4 -3 1 0 0

0 1 0 1 -1 0

0 0 -1 1 -2 -1


R1+4R2:
1 0 -3 5 -4 0

0 1 0 1 -1 0

0 0 -1 1 -2 -1
R1-3R3
1 0 0 2 2 3

0 1 0 1 -1 0

0 0 -1 1 -2 -1
R3*(-1)
1 0 0 2 2 3

0 1 0 1 -1 0

0 0 1 -1 2 1