线性方程组题目x1+x2-2x3+3x4=02x1+x2-6x3+4x4=-13x1+2x2+k1x3+7x4=-1x1-x2-6x3-x4=k2K1,K2各为何值时,方程组有唯一解?有无穷多解?有无穷多解时求全部解.

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线性方程组题目x1+x2-2x3+3x4=02x1+x2-6x3+4x4=-13x1+2x2+k1x3+7x4=-1x1-x2-6x3-x4=k2K1,K2各为何值时,方程组有唯一解?有无穷多解?有无穷多解时求全部解.
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线性方程组题目x1+x2-2x3+3x4=02x1+x2-6x3+4x4=-13x1+2x2+k1x3+7x4=-1x1-x2-6x3-x4=k2K1,K2各为何值时,方程组有唯一解?有无穷多解?有无穷多解时求全部解.
线性方程组题目
x1+x2-2x3+3x4=0
2x1+x2-6x3+4x4=-1
3x1+2x2+k1x3+7x4=-1
x1-x2-6x3-x4=k2
K1,K2各为何值时,方程组有唯一解?有无穷多解?有无穷多解时求全部解.

线性方程组题目x1+x2-2x3+3x4=02x1+x2-6x3+4x4=-13x1+2x2+k1x3+7x4=-1x1-x2-6x3-x4=k2K1,K2各为何值时,方程组有唯一解?有无穷多解?有无穷多解时求全部解.
增广矩阵 =
1 1 -2 3 0
2 1 -6 4 -1
3 2 k1 7 -1
1 -1 -6 -1 k2
r2-r1-r2,r2-2r1,r4-r1
1 1 -2 3 0
0 -1 -2 -2 -1
0 0 k1+8 0 0
0 -2 -4 -4 k2
r1+r2,r4-2r2,r2*(-1)
1 0 -4 1 -1
0 1 2 2 1
0 0 k1+8 0 0
0 0 0 0 k2+2
当k2≠-2时,方程组无解 (这叫做非零的尾巴,有它就无解)
当k2=-2时,方程组有无穷多解.
此时再分两种情况:
(1)当k1≠-8时,所有解为 (-1,1,0,0)'+c(1,2,0,-1)'.
(2)当k1=-8时,所有解为 (-1,1,0,0)'+c1(4,-2,1,0)+c2(1,2,0,-1)'.

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 解线性方程组x1+x2+x3+x4=2;2x1+3x2+4x3+3x4=5;x1+3x2+5x3+3x4=4 解线性方程组x1+x2+3x3+4x4=5 2x1+4x2+4x3+6x4=8 -x1-2x2-x3-2x4=-3 求线性方程组一般解,2X1+X2-2X3+3X4=03X1+2X2-X3+2X4=0X1+X2+X3-X4=0 求齐次线性方程组 X1+X2-X3-X4=0 2X1-5X2+3X3+2X4=0 7X1-7X2+3X3+X4=0 求线性方程组X1-X2-X3+X4=O X1-X2+X3-3X4=0 X1-X2-2X3+3X4=0 最好有具体过程 求非齐次线性方程组的基础解析X1+2X2+X3-X4=43X1+6X2-X3-3X4=85X1+10X2+X3-5X4=16 线性方程组求解,x1+2x2+x3-x4=1 3x1+6x2-x3-3x4=0 求齐次线性方程组 x1+x2+2x3-x4=0 -x1-3x3+2x4=0 2x1+x2+5x3-3x4=0 的一般解. 求齐次线性方程组x1+x2+2x3-x4=0 ,-x1-3x3+2x4=0 ,2x1+x2+5x3-3x4=0的一般解 齐次线性方程组{X1+X2+3X3+X4=0;2X1-X2+X3-3X4=0;X1+X3-X4=0}的基础解系 求齐次线性方程组X1+X2+2X2-X4=0,-X1-3X3+2X4=0,2X1+X2+5X3-3X4=0的一般解. 求解线性方程组X1-X2+X4=2,X1-2X2+X3+4X4=3,2X1-3X2+X3+5X4=5 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 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 线性方程组 X1+X2+X3+X4=0,2X1+X2+X3+2X4=0,3X1+2X2+4X3+4=1 解线性方程组{2x1-5x2+2x3-3x4=0,x1+2x2-x3+3x4=0,-2x1+14x2-6x3+12x4=0}一般解解线性方程组{2x1-5x2+2x3-3x4=0,x1+2x2-x3+3x4=0,-2x1+14x2-6x3+12x4=0}一般解