增廣矩陣 =
1 1 2 -1 1
2 3 1 -2 4
3 4 3 -3 5
r3-r1-r2,r2-2r1
1 1 2 -1 1
0 1 -3 0 2
0 0 0 0 0
r1-r2
1 0 5 -1 -1
0 1 -3 0 2
0 0 0 0 0
方程組的全部解為:
(-1,2,0,0)^T+c1(-5,3,1,0)^T+c2(1,0,0,1)^T
c1,c2為任意常數(shù)