关于一个特殊矩阵的讨论  

Discussion on a Special Matrix

作　　者：赵志辉 王亚林 方晓峰 

机构地区：[1]火箭军工程大学基础部,陕西 西安

出　　处：《理论数学》2024年第6期162-169,共8页Pure Mathematics

摘　　要：矩阵是线性代数中的重要表示工具和主要研究对象,不同结构的矩阵有着不同的价值和意义。本文主要从一个n维列向量和n维行向量的乘积获得的矩阵出发,通过典型例题剖析和重要理论分析相结合的方式,研究线性代数中重要理论之间的关联关系,为学生有效学习线性代数知识和教师设计线性代数的课堂教学提供帮助。Matrix is an important representation tool and a main research object in linear algebra, and matrices with different structures have different values and meanings. This paper mainly starts from the matrix of the product of multiplication of an n-dimensional column vector and an n-dimensional row vector. The paper studies the correlation between the important theories in linear algebra to provide help for students to effectively learn the knowledge of linear algebra and teachers to design the classroom teaching of linear algebra through the combination of typical example analysis and important theoretical analysis.

关 键 词：矩阵 向量 矩阵的秩 特征值与特征向量 

分 类 号：O15[理学—数学]