( ay1-y2,y2-y3,y3-y1)=(y1,y2,y3)KK=a 0 -1-1 1 00 -1 1|K|=a-1所以 ay1-y2,y2-y3,y3-y1 线性无关的充分必要条件是 a-1 ≠ 0即 ay1-y2,y2-y3,y3-y1 是基础解系的充要条件是 a≠1.