楼上的,最后是+a4
写出向量组为
1 1 5 1
1 1 -2 2
3 -1 7 -5
1 3 9 5 r2-r1,r3-3r1,r4-r1
~
1 1 5 1
0 0 -7 1
0 -4 -8 -8
0 2 4 4 r3/(-4),r4-2r3,r1-r3,交换r2和r3
~
1 0 3 -1
0 1 2 2
0 0 -7 1
0 0 0 0 r3/(-7),r1-3r3,r2-2r3
~
1 0 0 -4/7
0 1 0 16/7
0 0 1 -1/7
0 0 0 0
显然向量组是线性相关的
4/7 a1 -16/7 a2 +1/7 a3 -a4=0