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
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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
( 1 0 0 0 :0 )
0 1 1 1/3 :4/3
0 0 1 -4/3 :2/3
我们老师只有给我答案,我需要步骤,
我星期一就要考试了,
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
( 1 0 0 0 :0 )
0 1 1 1/3 :4/3
0 0 1 -4/3 :2/3
我们老师只有给我答案,我需要步骤,
我星期一就要考试了,
![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](/uploads/image/z/15629287-31-7.jpg?t=%E6%B1%82%E7%BA%BF%E6%80%A7%E6%96%B9%E7%A8%8B%E7%BB%84%E7%9A%84%E9%80%9A%E8%A7%A3%EF%BC%88%E5%85%A8%E9%83%A8%E8%A7%A3%EF%BC%89+X1%2BX2%2BX3-X4%3D2%2C2X1%2BX2-2X3%2B3X4%3D0%2C2X1%2B2X2-X3%2B2X4)
解: 增广矩阵 =
1 1 1 -1 2
2 1 -2 3 0
2 2 -1 2 2
r2-2r1,r3-2r1
1 1 1 -1 2
0 -1 -4 5 -4
0 0 -3 4 -2
r1+r2-r3
1 0 0 0 0
0 -1 -4 5 -4
0 0 -3 4 -2
r3*(-1/3), r2+4r3
1 0 0 0 0
0 -1 0 -1/3 -4/3
0 0 1 -4/3 2/3
r3*(-1)
1 0 0 0 0
0 1 0 1/3 4/3
0 0 1 -4/3 2/3
1 1 1 -1 2
2 1 -2 3 0
2 2 -1 2 2
r2-2r1,r3-2r1
1 1 1 -1 2
0 -1 -4 5 -4
0 0 -3 4 -2
r1+r2-r3
1 0 0 0 0
0 -1 -4 5 -4
0 0 -3 4 -2
r3*(-1/3), r2+4r3
1 0 0 0 0
0 -1 0 -1/3 -4/3
0 0 1 -4/3 2/3
r3*(-1)
1 0 0 0 0
0 1 0 1/3 4/3
0 0 1 -4/3 2/3
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