线性代数 求矩阵初等变换化为行最简行形
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线性代数 求矩阵初等变换化为行最简行形
0 -2 1 1 0 0
3 0 -2 0 1 0
-2 3 0 0 01
0 -2 1 1 0 0
3 0 -2 0 1 0
-2 3 0 0 01
![线性代数 求矩阵初等变换化为行最简行形](/uploads/image/z/15995827-19-7.jpg?t=%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0+%E6%B1%82%E7%9F%A9%E9%98%B5%E5%88%9D%E7%AD%89%E5%8F%98%E6%8D%A2%E5%8C%96%E4%B8%BA%E8%A1%8C%E6%9C%80%E7%AE%80%E8%A1%8C%E5%BD%A2)
[ 0 -2 1 1 0 0]
[ 3 0 -2 0 1 0]
[-2 3 0 0 0 1]
行初等变换为
[ 6 0 -4 0 2 0]
[ 0 -2 1 1 0 0]
[-6 9 0 0 0 3]
行初等变换为
[ 6 0 -4 0 2 0]
[ 0 -2 1 1 0 0]
[ 0 9 -4 0 2 3]
行初等变换为
[ 1 0 -2/3 0 1/3 0]
[ 0 1 -1/2 -1/2 0 0]
[ 0 9 -4 0 2 3]
行初等变换为
[ 1 0 -2/3 0 1/3 0]
[ 0 1 -1/2 -1/2 0 0]
[ 0 0 1/2 9/2 2 3]
行初等变换为
[ 1 0 0 6 3 8]
[ 0 1 0 4 2 3]
[ 0 0 1 2 4 6]
[ 3 0 -2 0 1 0]
[-2 3 0 0 0 1]
行初等变换为
[ 6 0 -4 0 2 0]
[ 0 -2 1 1 0 0]
[-6 9 0 0 0 3]
行初等变换为
[ 6 0 -4 0 2 0]
[ 0 -2 1 1 0 0]
[ 0 9 -4 0 2 3]
行初等变换为
[ 1 0 -2/3 0 1/3 0]
[ 0 1 -1/2 -1/2 0 0]
[ 0 9 -4 0 2 3]
行初等变换为
[ 1 0 -2/3 0 1/3 0]
[ 0 1 -1/2 -1/2 0 0]
[ 0 0 1/2 9/2 2 3]
行初等变换为
[ 1 0 0 6 3 8]
[ 0 1 0 4 2 3]
[ 0 0 1 2 4 6]