线性代数题,

网友回答

A=(a2,a1,a3,a4,a5)=
[1 1 5 -2 2]
[1 2 -3 3 4]
[1 3 -4 5 7]
[1 4 -12 10 9]
[1 5 -6 9 13]
行初等变换为
[1 1 5 -2 2]
[0 1 -8 5 2]
[0 2 -9 7 5]
[0 3 -17 12 7]
[0 4 -11 11 11]
行初等变换为
[1 1 5 -2 2]
[0 1 -8 5 2]
[0 0 7 -3 1]
[0 0 7 -3 1]
[0 0 21 -9 3]
行初等变换为
[1 1 5 -2 2]
[0 1 -8 5 2]
[0 0 7 -3 1]
[0 0 0 0 0]
[0 0 0 0 0]
向量组的秩是3,a1,a2,a3是一个极大线性无关组.