增广矩阵=
2 -3 5 7 1
4 -6 2 3 2
2 -3 -11 -15 1
r2-2r1,r3-r1
2 -3 5 7 1
0 0 -8 -11 0
0 0 -16 -22 0
r3-2r2,r2*(-1/8),r1-5r2
2 -3 0 1/8 1
0 0 1 11/8 0
0 0 0 0 0
r1*(1/2)
1 -3/2 0 1/8 1/2
0 0 1 11/8 0
0 0 0 0 0
方程组的通解为:(1/2,0,0,0)^T+c1(3,2,0,0)+c2(1,0,11,-8)^T.