增广矩阵 =
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
方程组的全部解为:
(-1,2,0,0)^T+c1(-5,3,1,0)^T+c2(1,0,0,1)^T
c1,c2为任意常数
求非其次线性方程组 x1+x2+2x3-x4=1;2X1+3X2+X3-2X4=4;3X1+4X2+3X3-3X4=5的
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.解线性方程组｜X1+X2+X3+X4=5 ｜X1+2X2-X3+4X4=-2 ｜2X1-3X2-X3-5X4=-2 ｜