线性代数,将这个矩阵化为最简形
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:2024/07/09 16:57:27
线性代数,将这个矩阵化为最简形
![](http://img.wesiedu.com/upload/3/ed/3ed14274f0b58292419eea765a70a057.jpg)
![](http://img.wesiedu.com/upload/3/ed/3ed14274f0b58292419eea765a70a057.jpg)
![线性代数,将这个矩阵化为最简形](/uploads/image/z/960273-9-3.jpg?t=%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%2C%E5%B0%86%E8%BF%99%E4%B8%AA%E7%9F%A9%E9%98%B5%E5%8C%96%E4%B8%BA%E6%9C%80%E7%AE%80%E5%BD%A2)
A=
[1 2 3 4 -4]
[0 1 -1 1 2]
[1 3 0 3 -1]
[0 -2 1 1 2]
行初等变换为
[1 2 3 4 -4]
[0 1 -1 1 2]
[0 1 -3 -1 3]
[0 -2 1 1 2]
行初等变换为
[1 0 5 2 -8]
[0 1 -1 1 2]
[0 0 -2 -2 1]
[0 0 -1 3 6]
行初等变换为
[1 0 0 17 22]
[0 1 0 -2 -4]
[0 0 1 -3 -6]
[0 0 0 -8 -11]
行初等变换为
[1 0 0 0 -11/8]
[0 1 0 0 -5/4]
[0 0 1 0 -15/8]
[0 0 0 1 11/8]
[1 2 3 4 -4]
[0 1 -1 1 2]
[1 3 0 3 -1]
[0 -2 1 1 2]
行初等变换为
[1 2 3 4 -4]
[0 1 -1 1 2]
[0 1 -3 -1 3]
[0 -2 1 1 2]
行初等变换为
[1 0 5 2 -8]
[0 1 -1 1 2]
[0 0 -2 -2 1]
[0 0 -1 3 6]
行初等变换为
[1 0 0 17 22]
[0 1 0 -2 -4]
[0 0 1 -3 -6]
[0 0 0 -8 -11]
行初等变换为
[1 0 0 0 -11/8]
[0 1 0 0 -5/4]
[0 0 1 0 -15/8]
[0 0 0 1 11/8]