线性代数题：解齐次方线性程组 x1+x2-3x4-x5=0 x1-x2+2x3-x4=0 4x1-2x2+6x3+3x4

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/14 03:22:32

线性代数题：解齐次方线性程组 x1+x2-3x4-x5=0 x1-x2+2x3-x4=0 4x1-2x2+6x3+3x4-4x5=0 3x1+3x2+3x4-7x5=0

系数矩阵 =
1 1 0 -3 -1
1 -1 2 -1 0
4 -2 6 3 -4
3 3 0 3 -7
r2-r1,r3-4r1,r4-3r1
1 1 0 -3 -1
0 -2 2 2 1
0 -6 6 15 0
0 0 0 12 -4
r4*(1/12),r1+3r4,r2-2r4,r3-15r4
1 1 0 0 -2
0 -2 2 0 5/3
0 -6 6 0 5
0 0 0 1 -1/3
r3-3r2,r2*(-1/2),r1-r2
1 0 1 0 -7/6
0 1 -1 0 -5/6
0 0 0 0 0
0 0 0 1 -2/6
全部解为:c1(1,-1,-1,0,0)'+c2(7,5,0,2,6)'

简单线代题///X1+X2+X3+X4+X5=13X1+2X2+X3+X4+3X5=0 X2+2X3+2X4+6X5=3 X1 - X3 - X4 -5X5=0 X1+2X2+3X3+3X4+7X5=0 X1+X2+X3+X4+X5=0 X2 求齐次方程组的的一般解(x1+x2+x3+x4+x5=0,3x1+2x2+x3+x4-3x5=0,x1+2x3+2x4+ 解方程组X2+X3+X4=1 X1+X2+X3=5 X3+X4+X5=-5 X4+X5+X1=-3 X5+X1+X2=2 求齐次线性方程组x1+2x2+x3+x4+x5=1 2x1+4x2+3x3+x4+x5=2 -x1-2x2+x3+3x4 线性代数练习题求助求方程组：①X1-X2-X3+X4=0;②X1-X2+X3-3X4=0;③X1-X2-2X3+3X4= 解线性方程组求齐次线性方程组X1+X2+X3+X4=0,2X1+3X2-X3-2X4=0,5X1+6X2+2X3+X4 解线性方程组求齐次线性方程组X1+X2+X3+X4=0,2X1+3X2+4X3+5X4=0,4X1+5X2+6X3+7 线性代数 2X1 - X2 +X3-X4=0 求解线性方程组｛ 2X1-X2-3X4=0 X2+3X3-6X4=0 2 齐次线性方程组{X1+X2+3X3+X4=0;2X1-X2+X3-3X4=0;X1+X3-X4=0}的基础解系求线性方程组 x2-x3-x4=0 x1+x2-x3+3x4=1 x1-x2+x3+5x4=-1 x1+2x2-2x3+ 设齐次线性方程组:x1+x2+x3+x4=0,x2-x3+2x4=0,2x1+3x2+(a+2)x3+4x4=0,3x1