A=
[1 1 2 1]
[2 -1 2 4]
[1 -2 0 3]
[4 1 4 2]
行初等变换为
[1 1 2 1]
[0 -3 -2 2]
[0 -3 -2 2]
[0 -3 -4 -2]
行初等变换为
[1 1 2 1]
[0 3 2 -2]
[0 0 -2 -4]
[0 0 0 0]
行初等变换为
[1 1 0 -3]
[0 3 0 -6]
[0 0 1 2]
[0 0 0 0]
行初等变换为
[1 0 0 -1]
[0 1 0 -2]
[0 0 1 2]
[0 0 0 0]
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