线性代数,将这个矩阵化为最简形

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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]