用递归定义推导行列式的展开法则及有关性质  

DEDUCTION OF THE EXPANSION AND THE RELATED PROPERTIES OF DETERMINANTS WITH RECURSIVE DEFINITION

作　　者：杨纶标[1] 

机构地区：[1]华南理工大学应用数学系

出　　处：《华南理工大学学报（自然科学版）》1998年第6期110-115,共6页Journal of South China University of Technology(Natural Science Edition)

摘　　要：用递归定义证明了“行列式相邻两行对调，其值变号”的性质，并根据这一性质推导出了行列式的按行展开法则及有关性质，从而简化了传统的推导方法．In this paper, the property is proved that if two adjacent rows of the determinant are interchanged, the sign of the determinant is reversed. According to this property, we introduce a rule regarding to expand determinants by the row and some related properties. Thus the traditional method is simplified.

关 键 词：行列式 递归定义 展开法则 性质 

分 类 号：O151.22[理学—数学]