消元法解线性代数2X1+3X2+ X3=4X1-2X2+4X3=-53X1+8X2-2X3=134X1-X2+9X3=-6

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消元法解线性代数2X1+3X2+X3=4X1-2X2+4X3=-53X1+8X2-2X3=134X1-X2+9X3=-6消元法解线性代数2X1+3X2+X3=4X1-2X2+4X3=-53X1+8X2

消元法解线性代数2X1+3X2+ X3=4X1-2X2+4X3=-53X1+8X2-2X3=134X1-X2+9X3=-6
消元法解线性代数
2X1+3X2+ X3=4
X1-2X2+4X3=-5
3X1+8X2-2X3=13
4X1-X2+9X3=-6

消元法解线性代数2X1+3X2+ X3=4X1-2X2+4X3=-53X1+8X2-2X3=134X1-X2+9X3=-6
增广矩阵 =
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*(1/7),r2+2r1
0 1 -1 2
1 0 2 -1
0 0 0 0
0 0 0 0
解为:(-1,2,0)'+c(2,-1,-1)'.

(-1,2,0)'+c(2,-1,-1)'.

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