| Weierstrass定理在线性代数中的一个应用 |
| |
| 引用本文： | 郭华,刘小明.Weierstrass定理在线性代数中的一个应用[J].重庆工商大学学报(自然科学版),2000(3). |
| |
| 作者姓名： | 郭华 刘小明 |
| |
| 作者单位： | 渝州大学数学系!重庆400033 |
| |
| 摘 要： | Weierstrass定理是数学分析中关于连续函数的一个重要性质 ,通过构造一个在某区间上用矩阵表示的连续实值函数 ,使它在该区间上满足Weierstrass定理的条件来证明矩阵的行列式大于零 ,同时得到了一些有用的结论。
|
| 关 键 词： | Weierstrass定理 连续实值函数 矩阵的行列式 |
An Application of Weierstrass Theorem in Linear Algebra |
| |
| GUO Hu,LIU Xiao_ming.An Application of Weierstrass Theorem in Linear Algebra[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2000(3). |
| |
| Authors: | GUO Hu LIU Xiao_ming |
| |
| Abstract: | The Weierstrass theorem expresses an important property of real_valued function in mathematical analysis. It's proved that the determinant of a matrix is greater than zero by constructing a continuous real_valued function representing in the form of a matrix in a certain closed in_terval, and rendering this function meet the conditions of Weierstrass theorem in this interval. Thereby, some other useful conclusions are obtained. |
| |
| Keywords: | Weierstrass theorem continuous real_valued function determinant of a matrix |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《重庆工商大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《重庆工商大学学报(自然科学版)》下载免费的PDF全文 |
