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2012•Journal of Changzhou Institute of TechnologyRequires access

Eigenvalue and Eigenvector of Some Related Matrices with Square Matrix A

Bo Gao

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Abstract

This paper discusses the relations between the eigenvalues and eigenvectors of a square matrix and its related matrices,such as inverse matrix,adjoint matrix,and so on.The conclusions are that the latter′s eigenvalues and eigenvectors can be derived from those of the former.Then some examples are demonstrated how to use these conclusions.

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What this paper is about

This paper discusses the relations between the eigenvalues and eigenvectors of a square matrix and its related matrices,such as inverse matrix,adjoint matrix,and so on.The conclusions are that the latter′s eigenvalues and eigenvectors can be derived from those of the former.Then some examples are demonstrated how to use these conclusions.

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Available abstract

This paper discusses the relations between the eigenvalues and eigenvectors of a square matrix and its related matrices,such as inverse matrix,adjoint matrix,and so on.The conclusions are that the latter′s eigenvalues and eigenvectors can be derived from those of the former.Then some examples are demonstrated how to use these conclusions.

Key concepts: Eigenvalues and eigenvectors, Square matrix, Matrix differential equation, Square root of a 2 by 2 matrix, Modal matrix, Mathematics, Defective matrix, Matrix (chemical analysis)

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