关于Gram行列式两个问题的解答  

Solution of two questions about Gram determinant

作　　者：朱小琨[1] 

机构地区：[1]华中师范大学学报编辑部,武汉430079

出　　处：《华中师范大学学报（自然科学版）》2003年第4期457-460,共4页Journal of Central China Normal University：Natural Sciences

摘　　要：研究了在通常Riemann积分的意义下Gram不等式的积分形式等号成立的充要条件.同时,还给出了向量组α1,a2,…,ak可由向量组β1,β2,…,βk线性表示时,两向量组的Gram行列式的关系.In this paper, Riemann integral form of Gram inequality to find necessary and sufficient condition for identity symbol is investigated, and the relation in determinant of vectors α\-1,α\-2,\:,α\-k with β\-1,β\-2,\:,β\-k, where vectors α\-1,α\-2,\:,α\-k can be linear representation of vectors β\-1,β\-2,\:,β\-k is also expounded.

关 键 词：向量组 线性相关 GRAM行列式 Gram不等式 

分 类 号：O151.22[理学—数学]