线性方程组 X1+X2+X3+X4=0,2X1+X2+X3+2X4=0,3X1+2X2+4X3+4=1

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线性方程组 X1+X2+X3+X4=0,2X1+X2+X3+2X4=0,3X1+2X2+4X3+4=1
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线性方程组 X1+X2+X3+X4=0,2X1+X2+X3+2X4=0,3X1+2X2+4X3+4=1
线性方程组 X1+X2+X3+X4=0,2X1+X2+X3+2X4=0,3X1+2X2+4X3+4=1

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^_^

方程组的通解为 (0,-1/2,1/2)+c(1,1,-1,-1)'

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