问题标题:
求行列式的逆矩阵11-10221-10
问题描述:
求行列式的逆矩阵
11-1
022
1-10
韩文廷回答:
题目有误,不是行列式的逆矩阵,而是矩阵的逆矩阵.
(A,E)=
[11-1100]
[022010]
[1-10001]
行初等变换为
[11-1100]
[022010]
[0-21-101]
行初等变换为
[11-1100]
[022010]
[003-111]
行初等变换为
[1102/31/31/3]
[0202/31/3-2/3]
[001-1/31/31/3]
行初等变换为
[1001/31/62/3]
[0101/31/6-1/3]
[001-1/31/31/3]
得逆矩阵A^(-1)=
[1/31/62/3]
[1/31/6-1/3]
[-1/31/31/3]
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