求齐次线性方程组的通解,并说明怎么对增广矩阵作初等行变换

2024-11-28 13:50:15
推荐回答(1个)
回答1:

A =
1 1 1 1 1 1
3 2 1 1 -3 0
0 1 2 2 6 3
5 4 3 3 -1 2
r2-3r1, r3-5r1
A =
1 1 1 1 1 1
0 -1 -2 -2 -6 -3
0 1 2 2 6 3
0 -1 -2 -2 -6 -3
r3+r2, r4-r2
A =
1 1 1 1 1 1
0 -1 -2 -2 -6 -3
0 0 0 0 0 0
0 0 0 0 0 0
r1+r2
A =
1 0 -1 -1 -5 -2
0 -1 -2 -2 -6 -3
0 0 0 0 0 0
0 0 0 0 0 0
r2*(-1)
A =
1 0 -1 -1 -5 -2
0 1 2 2 6 3
0 0 0 0 0 0
0 0 0 0 0 0
线性方程组的通解
k1*[ 1 -2 1 0 0]^T +
k2*[ 1 -2 0 1 0]^T +
k3*[ 5 -6 0 0 1]^T +
[-2 3 0 0 0]^T