重根特征值与特征向量的结论证明探究  

The Research of Conclusion Proof of Heavy RootEigenvalue and Eigenvectors

作　　者：姜浩 刘瑞 张先锋 JIANG Hao;LIU Rui;ZHANG Xianfeng(Sergeant School of Aerospace Engineering University,Changping Beijing 102200)

机构地区：[1]航天工程大学士官学校,北京昌平102200

出　　处：《陕西国防职教研究》2022年第3期47-48,共2页Shaanxi Guofang Vocational Education Research

摘　　要：矩阵的运算在数学建模中有着广泛的应用,工程技术中的一些问题,也常可归结为求一个方阵的特征值和特征向量的问题.关于特征值与特征向量,历来是线性代数学习中的重点和难点部分。本文就方阵的k重特征值对应线性无关的特征向量至多有k个这一结论,利用反证法在证明方法上进行了新的探究。The operation of matrix is widely used in mathematical modeling.Some problems in engineering technology can often be attributed to the problem of finding the eigenvalues and eigenvectors of a square matrix.Eigenvalues and eigenvectors have always been the key and difficult part of linear algebra learning.In this paper,we also explore the proof method by concluding that the heavy eigenvalues of the square matrix correspond to the linear-independent eigenvectors.

关 键 词：方阵 特征值 特征向量 

分 类 号：O151.21[理学—数学]