线性方程组 X1+X2+X3+X4=0,2X1+X2+X3+2X4=0,3X1+2X2+4X3+4=1
来源:学生作业帮 编辑:搜搜考试网作业帮 分类:数学作业 时间:2024/05/27 07:15:33
线性方程组 X1+X2+X3+X4=0,2X1+X2+X3+2X4=0,3X1+2X2+4X3+4=1
解: 增广矩阵 =
1 1 1 1 0
2 1 1 2 0
3 2 4 1 1
r3-r1-r2, r2-2r1
1 1 1 1 0
0 -1 -1 0 0
0 0 2 -2 1
r1+r2, r2*(-1),r3*(1/2)
1 0 0 1 0
0 1 1 0 0
0 0 1 -1 1/2
r2-r3
1 0 0 1 0
0 1 0 1 -1/2
0 0 1 -1 1/2
方程组的通解为 (0,-1/2,1/2)+c(1,1,-1,-1)'
串串, 满意请采纳^_^
1 1 1 1 0
2 1 1 2 0
3 2 4 1 1
r3-r1-r2, r2-2r1
1 1 1 1 0
0 -1 -1 0 0
0 0 2 -2 1
r1+r2, r2*(-1),r3*(1/2)
1 0 0 1 0
0 1 1 0 0
0 0 1 -1 1/2
r2-r3
1 0 0 1 0
0 1 0 1 -1/2
0 0 1 -1 1/2
方程组的通解为 (0,-1/2,1/2)+c(1,1,-1,-1)'
串串, 满意请采纳^_^
求线性方程组 x2-x3-x4=0 x1+x2-x3+3x4=1 x1-x2+x3+5x4=-1 x1+2x2-2x3+
设齐次线性方程组:x1+x2+x3+x4=0,x2-x3+2x4=0,2x1+3x2+(a+2)x3+4x4=0,3x1
解线性方程组 求齐次线性方程组X1+X2+X3+X4=0,2X1+3X2+4X3+5X4=0,4X1+5X2+6X3+7
求非齐次线性方程组:2x1-x2+4x3-3x4=-4;x1+x3-x4=-3;3x1+x2+x3=1;7x1+7x3-
求齐次线性方程组x1+2x2+x3+x4+x5=1 2x1+4x2+3x3+x4+x5=2 -x1-2x2+x3+3x4
用列主元Gauss消元法解线性方程组{-x2-x3+x4=0,x1-x2+x3-3x4=1,2x1-2x2-4x3+6x
解线性方程组 求齐次线性方程组X1+X2+X3+X4=0,2X1+3X2-X3-2X4=0,5X1+6X2+2X3+X4
奇次线性方程组x1-2x2+3x3-4x4=0 x2-x3+x4=0 x1+3x2-kx4=0 -7x2+kx3+x4=
求线性方程组{X1+X2+2X3-3X4=0; X1+2X2-X3+2X4=0; 2X1+3X2+X3-X4=0}的基础
求线性方程组一般解,2X1+X2-2X3+3X4=03X1+2X2-X3+2X4=0X1+X2+X3-X4=0
求齐次线性方程组{X1+X2+3X3+2X4=0 2X1+3X2+X3-X4=0 5X1+6X2+10X3+5X4=0}
求非齐次线性方程组的通解:2x1+x2-x3-x4=1;2x1+x2+x3-x4=1;4x1+2x2+x3-2x4=2