用初等变换求下列矩阵的逆矩阵2 1 0 0 3 2 0 0 5 7 1 8 -1用初等变换求下列矩阵的逆矩阵2 1 0 03 2 0 05 7 1 8-1 -3 -1 -1
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/30 07:06:48
用初等变换求下列矩阵的逆矩阵2 1 0 0 3 2 0 0 5 7 1 8 -1用初等变换求下列矩阵的逆矩阵2 1 0 03 2 0 05 7 1 8-1 -3 -1 -1
用初等变换求下列矩阵的逆矩阵2 1 0 0 3 2 0 0 5 7 1 8 -1
用初等变换求下列矩阵的逆矩阵2 1 0 0
3 2 0 0
5 7 1 8
-1 -3 -1 -1
用初等变换求下列矩阵的逆矩阵2 1 0 0 3 2 0 0 5 7 1 8 -1用初等变换求下列矩阵的逆矩阵2 1 0 03 2 0 05 7 1 8-1 -3 -1 -1
(A,E)=
2 1 0 0 1 0 0 0
3 2 0 0 0 1 0 0
5 7 1 8 0 0 1 0
-1 -3 -1 -1 0 0 0 1
r2-2r1,r4+r3
2 1 0 0 1 0 0 0
-1 0 0 0 -2 1 0 0
5 7 1 8 0 0 1 0
4 4 0 7 0 0 1 1
r1+2r2,r2*(-1)
0 1 0 0 -3 2 0 0
1 0 0 0 2 -1 0 0
5 7 1 8 0 0 1 0
4 4 0 7 0 0 1 1
r1r2
1 0 0 0 2 -1 0 0
0 1 0 0 -3 2 0 0
5 7 1 8 0 0 1 0
4 4 0 7 0 0 1 1
r3-5r1-7r2,r4-4r1-4r2
1 0 0 0 2 -1 0 0
0 1 0 0 -3 2 0 0
0 0 1 8 11 -9 1 0
0 0 0 7 4 -4 1 1
r4*(1/7),r3-8r4
1 0 0 0 2 -1 0 0
0 1 0 0 -3 2 0 0
0 0 1 0 45/7 -31/7 -1/7 -8/7
0 0 0 1 4/7 -4/7 1/7 1/7
A^-1=
2 -1 0 0
-3 2 0 0
45/7 -31/7 -1/7 -8/7
4/7 -4/7 1/7 1/7