A =
[0 1 -1 -1 2]
[0 2 -2 -2 0]
[0 -1 1 1 1]
[1 1 0 1 -1]
初等行变换为
[1 0 1 2 -3]
[0 1 -1 -1 2]
[0 0 0 0 -4]
[0 0 0 0 3]
初等行变换为
[1 0 1 2 -3]
[0 1 -1 -1 2]
[0 0 0 0 1]
[0 0 0 0 0]
r(A) = 3
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