解线性方程组x1+2x2+3x3+4x4=5 2x1+4x2+4x3+6x4=8 -x1-2x2-x3-2x4= - 3

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解线性方程组x1+2x2+3x3+4x4=5 2x1+4x2+4x3+6x4=8 -x1-2x2-x3-2x4= - 3

解线性方程组x1+2x2+3x3+4x4=5 2x1+4x2+4x3+6x4=8 -x1-2x2-x3-2x4= - 3
解线性方程组x1+2x2+3x3+4x4=5 2x1+4x2+4x3+6x4=8 -x1-2x2-x3-2x4= - 3

解线性方程组x1+2x2+3x3+4x4=5 2x1+4x2+4x3+6x4=8 -x1-2x2-x3-2x4= - 3
用矩阵
1 2 3 4 5
2 4 4 6 8
-1 -2 -1 -2 -3 行变换变成
1 2 0 1 2
0 0 1 1 1
0 0 0 0 0 设x2=k1,x4=k2,则通解为
x1 -2 -1 2
x2 = k1* 1 + k2* 0 + 0
x3 0 -1 1
x4 0 1 0

解线性方程组x1+x2+3x3+4x4=5 2x1+4x2+4x3+6x4=8 -x1-2x2-x3-2x4=-3 解线性方程组x1+x2+x3+x4=2;2x1+3x2+4x3+3x4=5;x1+3x2+5x3+3x4=4 求线性方程组(X1-X2+X4,X1-2X2+X3+4X4=3,2X1-3X2+X3+5X4=5)的一般解, 求解线性方程组的一般解方程组为 x1-x2+x4=2x1-2x2+x3+4x4=32x1-3x2+x3+5x4=5 解线性方程组{2X1+X2-2X3-2X4=0 X1+2X2+2X3+X4=0 X1-X2-4X3-3X4=0 解线性方程组{2X1+X2-2X3-2X4=0X1+2X2+2X3+X4=0X1-X2-4X3-3X4=0 解线性方程组 X1-2X2+3X3-4X4=0 X2-X3+X4=0 X1+3X2-3X4=0 X解线性方程组X1-2X2+3X3-4X4=0X2-X3+X4=0X1+3X2-3X4=0X1-4X2+3X3-2X4=0 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. .解线性方程组|X1+X2+X3+X4=5 |X1+2X2-X3+4X4=-2 |2X1-3X2-X3-5X4=-2 |3X1+X2+2X3+11X4=0 求线性方程组的基础解系及通解x1+x2+x3+x4=13x1+2x2+x3+x4=-3x2+2x3+2x4=65x1+4x2+3x3+3x4=-1 求齐次线性方程组 x1+x2-2x4=0,4x1-x2-x3-x4=0,3x1-x2-x3=0的基础解系及其通解 线性代数题9求解线性方程组(用奇次方程基础解系表示)x1-x2+x3-2x4=5x1-2x2-x3+3x4=4{2x1-3x2+x4=93x1-4x2+x3-x4=14 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。 X1+X2-3X3-X4=1 3X1-X2-3X3+4X4=4 X1+5X2-9X3-8X4=0 解线性方程组 求线性方程组一般解,2X1+X2-2X3+3X4=03X1+2X2-X3+2X4=0X1+X2+X3-X4=0 求下列齐次线性方程组的基础解系x1-2x2+3x3-4x4=0x2-x3+x4=0x1+3x2 -3x4=0x1-4x2+3x3-2x4=0 请指点一道解线性方程组的问题2x1+x2-5x3+x4=8x1-3x2-6x4=92x2-x3+2x4=-5x1+4x2-7x3+6x4=0 非齐次线性方程组 解以下线性方程组x1+x2+x3+x4=5x1+2x2-x3+4x4=-22x1-3x2-x3-5x4=-23x1+x2+2x3+11x4=0x1=1;x2=2;x3=3;x4=-1