4X1+2X2-X3=0 3X1-X2+2X3=0 11X1+3X2=0算下

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4X1+2X2-X3=0 3X1-X2+2X3=0 11X1+3X2=0算下
4X1+2X2-X3=0 3X1-X2+2X3=0 11X1+3X2=0
算下

4X1+2X2-X3=0 3X1-X2+2X3=0 11X1+3X2=0算下
4 2 -1
3 -1 2
11 3 0
r3-3r1,r1-r2
1 3 -3
3 -1 2
-1 -3 3
r2-3r1,r3+r1
1 3 -3
0 -10 11
0 0 0
方程组有解,需化成行简化梯矩阵
r2*(-1/10),r1-3r2
1 0 3/10
0 1 -11/10
0 0 0
通解为:c(3,-11,-10),c为任意常数

max Z=2X1+4X2-5X3 X1+X2+X3=7 2X1-3X2+X3≥10 X1.X2.X3≥0 解线性方程组 x1-x2-x3=2 x1+x2+4x3=0 3x1+5x3=3 用初等行变换来解下列线性方程组(1)2x1-x2+3x3=3 3x1+x2-5x3=0 4x1-x2+x3=3 x1+3x2-13x3=-6(2) x1-2x2+x3+x4=1 x1-2x2+x3-x4=-1 x1-2x2+x3-5x4=5(3) x1-x2+x3-x4=1 x1-x2-x3+x4=0 x1-x2-2x3+2x4=-1/2 mathematica如何求解含有三角函数的方程?FindRoot[{3 x1^3 + 2 x2 - 5 + Sin[x1 - x2] Sin[x1 + x2] == 0,-x1*Exp[x1 - x2] + x2 (4 + 3 x2^2) + 2 x3 + Sin[x2 - x3] Sin[x2 + x3] - 8 == 0,-x2*Exp[x2 - x3] + 4 x3 - 3 ==0},{x1,Pi/2},{x2,2},{x3,0}] 消元法解线性代数4X1+2X2-X3=23X1-X2+2X3=1011X1+3X2 =8 解方程组(x1+2x2+2x3+x4=0,2x1+x2-2x3-2x4=0,x1-x2-4x3-3x4=0) 解非线性方程组 x1+2x2+2x3+x4=0 2x1+x2-2x3-2x4=0 x1-x2-4x3-3x4=0 解方程组 x1+2x2+2x3+x4=0 2x1+x2-2x3-2x4=0 x1-x2-4x3-3x4=0 齐次方程组,x1+4X2-3X3=0 2X1+5X2-3X3=0 X1+2X2-X3=0求其通解 线性方程组 X1+X2+X3+X4=0,2X1+X2+X3+2X4=0,3X1+2X2+4X3+4=1 写出下面线性规划的对偶规划min Z=3X1+2X2+X3; X1+X2+X3≤6;X1-X3≥4;X2-X3≥3;X1,X2,X3≥0 求解非齐次线性方程组x1+x2+x3=3,x2-x3=0,-x1-x2+2x3=0,2x1-x2+x3=2 求解齐次线性方程组 2x1+3x2-x3-7x4=0 3x1+x2+2x3-7x4=0 4x1+求解齐次线性方程组2x1+3x2-x3-7x4=03x1+x2+2x3-7x4=04x1+x2-3x3+6x4=0x1-2x2+5x3-5x4=0 解方程组 X1-X2-4X3=-1 X2+X3=2 X1+X2-2X3=3线性代数 求下面线性规划问题的对偶问题minZ- -x1+3x2-5x3-2x1+6x2-x3≥30X1+4x2-3x3≤20X1-x2+x3- -4X1≤0,x2≥0,x3 无约束 X1-X2-3X3+X4=1 X1-X2+2X3-X4=3 2X1-2X2-11X3+4X4=0 4X1-4X2+3X3-2X4=10 用消元法 解线性方程组 求方程组X1-3X2-2X3-X4=1 3X1-8X2-4X3-X4=0 -2X1+X2-4X3+2X4=1 -X1-2X2-6X3+X4=2的解 求线性方程组{X1-3x2-2x3-X4=1;3X1-8X2-4X3-X4=0;-2X1+X2-4X3+2X4=1;-X1-2X2-6X3+X4=2的一般解.