求下列齐次线性方程组的基础解系,并写出其一般解 2x1+x2-3x3+2x4=0 3x1+2x2+x3-2x4=0 x1+x2+4x3-4x4=0
求下列齐次线性方程组的基础解系,并写出其一般解 2x1+x2-3x3+2x4=0 3x1+2x2+x3-2x4=0 x1+x2+4x3-4x4=0
日期:2011-11-27 22:44:56 人气:1
2 1 -3 2
3 2 1 -2
1 1 4 -4
=====
1 1 4 -4
0 -1 -11 10
0 -1 -11 10
=====
1 1 4 -4
0 1 11 -10
0 0 0 0
==========
1 0 -7 6
0 1 11 -10
0 0 0 0
x1=7x3-6x4
x2=-11x3+10x4
取x3=1,x4=0,得
x1=7,x2=-11
ξ1=(