2a-4b+c=1 a-5b+3c=2 a-b+c=-1

2a-4b+c=1 a-5b+3c=2 a-b+c=-1
2a-4b+c=1 a-5b+3c=2 a-b+c=-1

2a-4b+c=1 a-5b+3c=2 a-b+c=-1
增广矩阵 =
2 -4 1 1
1 -5 3 2
1 -1 1 -1
r1-2r3,r2-r3
0 -2 -1 3
0 -4 2 3
1 -1 1 -1
r3-2r1
0 -2 -1 3
0 0 4 -3
1 -1 1 -1
r1*(-1/2),r2*(1/4)
0 1 -1/2 -3/2
0 0 1 -3/4
1 -1 1 -1
r1+(1/2)r2,r3+r1-r2
0 1 0 -9/8
0 0 1 -3/4
1 0 0 -11/8
方程组有唯一解:(-11/8,-9/8,-3/4)'.