摘要
矩阵的迹作为矩阵的一个重要数字特征,在数值计算、逼近论和统计估计等方面都有着较为广泛的应用.给出代数学科中3类重要的问题——存在性问题、数量问题和构造性问题的实例,说明矩阵迹在解决实际问题中的广泛应用,以期增强学生探究问题、解决问题、应用数学的意识和能力,增强学生学习数学的自觉性.
As an important digital feature of matrix,the trace of matrix has been widely used in numerical calculation,approximation theory and statistical estimation.Gives examples of three kinds of important problems in algebraic discipline such as existence problems,quantitative problems and structural problems,illustrates the wide application of matrix trace in solving practical problems,so as to enhance students'consciousness and ability of exploring problems,solving problems and applying mathematics,enhanc students'consciousness of learning mathematics.
作者
宿曈
SU Tong(School of Mathematics and Computer Science,Northwest Minzu University,Lanzhuo 730000,China)
出处
《高师理科学刊》
2018年第10期45-47,共3页
Journal of Science of Teachers＇College and University
基金
国家自然科学基金项目(11761059)
关键词
矩阵的迹
邻接矩阵
图论
trace of matrix
adjacent matrix
graph theory
