浅谈矩阵的特征值与特征向量的应用

On the application of eigenvalue and eigenvector of matrixAbstract At first,in order to facilitate the study and solution of linear equations,the concept ofmatrix was introduced.With the continuous improvement of matrix theory,matrix is gradually used asan important research tool in various disciplines,and its theory has been fully developed.Theeigenvalues and characteristics of matrix Vectors are an important means of studying matrices.Bycalculating the eigenvalues and eigenvectors of the matrix,some important properties andapplications of the matrix can be obtained.This article introduces the concepts and properties of theeigenvalues and eigenvectors of the matrix,Through specific examples,it summarizes how to usematrix eigenvalues and eigenvectors to solve practical problems.This article is divided into threeparts.The first part mainly introduces some domestic and foreign research status of matrixeigenvalues and eigenvectors.The second part mainly introduces How to find eigenvalues andeigenvectors.The third part mainly introduces some of the main applications of eigenvalues andeigenvectors.For example,the methods and means to solve the eigenvalues and eigenvectors ofmatrices through row and column reciprocal transformation,MATLAB,etc.Related applications ofvalues and feature vectors.For example,you can predict the future of a specific area t Economicdevelopment status,models with eigenvalues and eigenvectors can also help solve problems suchas population mobility in daily life.The study of eigenvalues and eigenvectors can help the furtherdevelopment of algebra,and at the same time apply the research results of both In real life,you cansolve many practical problems.Key wordseigenvalue eigenvector matrix application