| 整数环上矩阵可逆的充要条件 |
| |
| 引用本文： | 姜海勤. 整数环上矩阵可逆的充要条件[J]. 泰州职业技术学院学报, 2004, 4(6): 3-5 |
| |
| 作者姓名： | 姜海勤 |
| |
| 作者单位： | 扬州职业大学,江苏,扬州,225002 |
| |
| 摘 要： | 给出整数环上矩阵可逆的充要条件detA=±1和A可表成P(i,j)及P(i,j(k))这一类整初等矩阵的乘积,并由此得到求整数环上矩阵的逆矩阵的方法。同时给出矩阵可逆的一个充分条件。
|
| 关 键 词： | 整数环 整可逆矩阵 整初等变换 |
| 文章编号： | 1671-0142(2004)06-0003-03 |
On Necessary and Sufficient Condition of Invertible Matrix in Integral Ring |
| |
| JIANG Hai-qin. On Necessary and Sufficient Condition of Invertible Matrix in Integral Ring[J]. Journal of Taizhou Polytechnical Institute, 2004, 4(6): 3-5 |
| |
| Authors: | JIANG Hai-qin |
| |
| Abstract: | The product of such matrixes as =1 and matrix notation of A:P(i,j) and P(i,j(k)) for necessary and sufficient condition of invertible matrix in integral ring is given in this paper , resulting in the solution to invertible matrix in integral ring . In the meantime , the sufficient condition of invertible matrix is presented here. |
| |
| Keywords: | integral ring invertible matrix integral elementary transformation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
