Weierstrass定理在线性代数中的一个应用  

An Application of Weierstrass Theorem in Linear Algebra

作　　者：郭华[1] 刘小明[1] 

机构地区：[1]渝州大学数学系,重庆400033

出　　处：《渝州大学学报》2000年第3期17-19,共3页

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。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.

关 键 词：WEIERSTRASS定理 矩阵 行列式 线性代数 应用 

分 类 号：O151.2[理学—数学] O171[理学—基础数学]