如何利用行初等变换吧A矩阵变为单位矩阵?
来源:学生作业帮 编辑:搜狗做题网作业帮 分类:数学作业 时间:2024/07/16 02:43:53
如何利用行初等变换吧A矩阵变为单位矩阵?
![](http://img.wesiedu.com/upload/c/80/c80a95482d73099044806cc618d1913f.jpg)
![](http://img.wesiedu.com/upload/c/80/c80a95482d73099044806cc618d1913f.jpg)
![如何利用行初等变换吧A矩阵变为单位矩阵?](/uploads/image/z/1681511-23-1.jpg?t=%E5%A6%82%E4%BD%95%E5%88%A9%E7%94%A8%E8%A1%8C%E5%88%9D%E7%AD%89%E5%8F%98%E6%8D%A2%E5%90%A7A%E7%9F%A9%E9%98%B5%E5%8F%98%E4%B8%BA%E5%8D%95%E4%BD%8D%E7%9F%A9%E9%98%B5%3F)
1+r2+r3+r4
4 0 0 0
1 1 -1 -1
1 -1 1 -1
1 -1 -1 1
r1*(1/4),r2-r1,r3-r1,r4-r1
1 0 0 0
0 1 -1 -1
0 -1 1 -1
0 -1 -1 1
r3+r2,r4+r2
1 0 0 0
0 1 -1 -1
0 0 0 -2
0 0 -2 0
r3*(-1/2),r4*(-1/2),r2+r3+r4
1 0 0 0
0 1 0 0
0 0 0 1
0 0 1 0
r3r4
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
4 0 0 0
1 1 -1 -1
1 -1 1 -1
1 -1 -1 1
r1*(1/4),r2-r1,r3-r1,r4-r1
1 0 0 0
0 1 -1 -1
0 -1 1 -1
0 -1 -1 1
r3+r2,r4+r2
1 0 0 0
0 1 -1 -1
0 0 0 -2
0 0 -2 0
r3*(-1/2),r4*(-1/2),r2+r3+r4
1 0 0 0
0 1 0 0
0 0 0 1
0 0 1 0
r3r4
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1