2/5x4+1/5x2/13+2/5x12/13 简便算法

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2/5x4+1/5x2/13+2/5x12/13 简便算法

2/5x4+1/5x2/13+2/5x12/13 简便算法
2/5x4+1/5x2/13+2/5x12/13 简便算法

2/5x4+1/5x2/13+2/5x12/13 简便算法
2/5x4+1/5x2/13+2/5x12/13
=2/5x4+2/5x1/13+2/5x12/13
=2/5x(4+1/13+12/13)
=2
因为1/5x2/13=2/5x1/13

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 下列方程组如何解 2x1+x2-2x3+3x4=1 3x1+2x2-x3+2x4=4 3x1+3x2+3x3-3x4=52x1+x2-2x3+3x4=13x1+2x2-x3+2x4=43x1+3x2+3x3-3x4=5如何解这个线性方程组,因为不太懂。 {2X1-X2+3X3=33X1+X2-5X3=04X1-X2+X3=3X1+3X2-13X3=-6{X1-2X2+3X3-4X4=4X2-X3+X4=-3X1+3X2-3X4=1-7X2+3X3+X4=-3 求解下列非齐次线性方程组!x1-2x2+3x3-x4=13x1-x2+5x3-3x4=22x1+x2+2x3-2x4=3 求解非齐次线性方程组x1-2x2+x3+x4=1,x1-2x2+x3-x4=-1,x1-2x2+x3-5x4=5的解 用初等行变换解线性方程组 x1-2x2+x3+x4=1 x1-2x2+x3-x4=-1 x1-2x2+x3-5x4=5 解方程组X1-2x2+3x3-x4=1,3x1-x2+5x3-3x4=2,2x1+x2+2x3-2x4=3 解一道方程组x1+x2+x3=5,x2+x3+x4=1,x3+x4+x5=-5,x4+x5+x1=-3,x5+x1+x2=2 x1+5x2-x3-x4=-1x1-2x2+x3+3x4=33x1+8x2-x3+x4=1 用消元法解线性方程组 2x1+x2-2x3+3x4=1 3x1+2x2-x3+2x4=4 3x1+用消元法解线性方程组2x1+x2-2x3+3x4=13x1+2x2-x3+2x4=43x1+3x2+3x3-3x4=5为什么? 非齐次线性方程组求解.x1+x2+2x3+3x4=1 2x1+3x2+5x3+2x4=-3 3x1-x2-x3-2x4=-4 3x1+5x2+2x3-2x4=-10 克莱姆法则解方程组x1+x2+2x3+3x4=4X1+x2+x4=43x1+x2+5x3+10x4=124x1+5x2+9x3+13x4=18 讨论2X1+X2-X3+X4=1 3X1-2X2+2X3-3X4=2 5X1+X2-X3+2X4=-1 2X1-X2+X3-3X4=4的解的情况 求非齐次线性方程组的通解x1+3x2+5x3-4x4=1x1+3x2+2x3-2x4+x5=-1x1-2x2+x3-x4-x5=3x1+2x2+x3-x4-x5=3 x1-x2+x3=1 x2-x3+x4=2 x3-x4+x5=3 x4-x5+x1=4 x5-x1+x2=5 求x1,x2,x3,x4,x5 x1-x2+x3=1x2-x3+x4=21若x1,x2,x3,x4,x5满足方程组 x3-x4+x5=3x4-x5+x1=4x5-x1+x2=5求x2 x3 x4的值2已知 x1+x4+x6+x7=39 x2+x4+x5+x7=49 x3+x5+x6+x7=41 x4+x7=13 x5+x7=14 x6+x7=9 x1+x2+x3+x4+x5+x6+x7=9求x7的值若x1,x2,x3,x4,x5满足方程组 x1-x 确定a的值,使线性方程组{X1+X2+X3+X4=1,3X1+2X2+X5+X4=0,X2+2X3+2X4=a,5X1+4X2+3X2+3X4=2 并求通解 2X1+X2-X3+X4=13X1-2X2+X3-3X4=4X1+4X2-3X3+5X4=-2X1+X2+X3+X4=0X1+2X2+4X3+4X4=02X1+3X2+5X3+5X4=0