作业帮线性代数,将这个矩阵化为最简形
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/04/29 19:26:30
线性代数,将这个矩阵化为最简形
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]