2X1+3X2+X3=4,X1-2X2+4X3=-5,3X1+8X2-2X3=13,4X1-X2+
2X1+3X2+X3=4,X1-2X2+4X3=-5,3X1+8X2-2X3=13,4X1-X2+9X3=-6...
2X1+3X2+X3=4,X1-2X2+4X3=-5,3X1+8X2-2X3=13,4X1-X2+9X3=-6
展开
1个回答
展开全部
写出增广矩阵为
2 3 1 4
1 -2 4 -5
3 8 -2 13
4 -1 9 -6 r1-2r2,r3-3r2,r4-4r2
~
0 7 -7 14
1 -2 4 -5
0 14 -14 28
0 7 -7 14 r3-2r1,r4-r1,r1/7
~
0 1 -1 2
1 -2 4 -5
0 0 0 0
0 0 0 0 r2+2r1,交换r1r2
~
1 0 2 -1
0 1 -1 2
0 0 0 0
0 0 0 0
于是解得X=c *(-2,1,1)^T+(-1,2,0)^T,c为常数
2 3 1 4
1 -2 4 -5
3 8 -2 13
4 -1 9 -6 r1-2r2,r3-3r2,r4-4r2
~
0 7 -7 14
1 -2 4 -5
0 14 -14 28
0 7 -7 14 r3-2r1,r4-r1,r1/7
~
0 1 -1 2
1 -2 4 -5
0 0 0 0
0 0 0 0 r2+2r1,交换r1r2
~
1 0 2 -1
0 1 -1 2
0 0 0 0
0 0 0 0
于是解得X=c *(-2,1,1)^T+(-1,2,0)^T,c为常数
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询