| 用递归定义推导行列式的展开法则及有关性质 |
| |
| 引用本文： | 杨纶标.用递归定义推导行列式的展开法则及有关性质[J].华南理工大学学报(自然科学版),1998,26(6):110-115. |
| |
| 作者姓名： | 杨纶标 |
| |
| 作者单位： | 华南理工大学应用数学系 |
| |
| 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．
|
| 关 键 词： | 行列式 递归定义 展开法则 性质 |
DEDUCTION OF THE EXPANSION AND THE RELATED PROPERTIES OF DETERMINANTS WITH RECURSIVE DEFINITION |
| |
| Yang Lunbiao.DEDUCTION OF THE EXPANSION AND THE RELATED PROPERTIES OF DETERMINANTS WITH RECURSIVE DEFINITION[J].Journal of South China University of Technology(Natural Science Edition),1998,26(6):110-115. |
| |
| Authors: | Yang Lunbiao |
| |
| Abstract: | 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. |
| |
| Keywords: | determinant recursive definition expansion property |
| 本文献已被 CNKI 维普 等数据库收录！ |
