解: 增广矩阵 =
2 1 -1 1 1
4 2 -2 1 2
2 1 -1 -1 1
r2-2r1, r3-r1
2 1 -1 1 1
0 0 0 -1 0
0 0 0 -2 0
r1+r2, r3-2r2, r2*(-1), 的*(1/2)
1 1/2 -1/2 0 1/2
0 0 0 1 0
0 0 0 0 0
通解为: (1/2,0,0,0)+c1(-1/2,1,0,0)+c2(1/2,0,1,0)
满意请采纳
解: 增广矩阵 =
2 1 -1 1 1
4 2 -2 1 2
2 1 -1 -1 1
r2-2r1, r3-r1
2 1 -1 1 1
0 0 0 -1 0
0 0 0 -2 0
r1+r2, r3-2r2, r2*(-1), 的*(1/2)
1 1/2 -1/2 0 1/2
0 0 0 1 0
0 0 0 0 0
通解为: (1/2,0,0,0)+c1(-1/2,1,0,0)+c2(1/2,0,1,0)
满意请采纳