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2014•Journal of Chengdu Technological UniversityRequires access

A Simple Method for Obtaining Eigenvectors of a Real Symmetric Matrix

Huang Zexi

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Abstract

The authors present a simple method for obtaining eigenvectors of a real symmetric matrix. Especially when there are only two unequal eigenvalues of real symmetric matrix A,One eigenvalueλ is arbitrarily selected,the corresponding homogeneous linear equations are solved( λI- A)X = 0,then,all eigenvectors of matrix A can be solved.

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What this paper is about

The authors present a simple method for obtaining eigenvectors of a real symmetric matrix. Especially when there are only two unequal eigenvalues of real symmetric matrix A,One eigenvalueλ is arbitrarily selected,the corresponding homogeneous linear equations are solved( λI- A)X = 0,then,all eigenvectors of matrix A can be solved.

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Available abstract

The authors present a simple method for obtaining eigenvectors of a real symmetric matrix. Especially when there are only two unequal eigenvalues of real symmetric matrix A,One eigenvalueλ is arbitrarily selected,the corresponding homogeneous linear equations are solved( λI- A)X = 0,then,all eigenvectors of matrix A can be solved.

Key concepts: Eigenvalues and eigenvectors, Matrix differential equation, Simple (philosophy), Matrix (chemical analysis), Symmetric matrix, Mathematics, Spectrum of a matrix, Defective matrix

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