问题标题:
求线性方程组的通解(全部解)X1+X2+X3-X4=2,2X1+X2-2X3+3X4=0,2X1+2X2-X3+2X4=2求线性方程组的通解(全部解)X1+X2+X3-X4=2,2X1+X2-2X3+3X4=0,2X1+2X2-X3+2X4=2(1000:0)0111/3:4/3001-4/3:2/3我们老师只有给
问题描述:
求线性方程组的通解(全部解)X1+X2+X3-X4=2,2X1+X2-2X3+3X4=0,2X1+2X2-X3+2X4=2求线性方程组的通解(全部解)X1+X2+X3-X4=2,2X1+X2-2X3+3X4=0,2X1+2X2-X3+2X4=2(1000:0)0111/3:4/3001-4/3:2/3我们老师只有给
林彦生回答:
解:增广矩阵=
111-12
21-230
22-122
r2-2r1,r3-2r1
111-12
0-1-45-4
00-34-2
r1+r2-r3
10000
0-1-45-4
00-34-2
r3*(-1/3),r2+4r3
10000
0-10-1/3-4/3
001-4/32/3
r3*(-1)
10000
0101/34/3
001-4/32/3
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