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2009•Journal of Science of Teachers' College and UniversityRequires access

The determining conditions of normal matrices

Hongchao Liu

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Abstract

Diagonal matrix,hermite matrix,skew-Hermitian matrix,unitary matrix,symmetric matrix,skew-symmetric matrix,orthogonal matrix are normal matrices.Normal matrices so formal as a wider range of matrices,it is necessary to determine the conditions for its further study.The determining conditions of normal matrices was disussed in aspects of definition,matrix diagonalization,eigenvalue and eigenvector,matrix realand and imaginary parts,matrix decomposition and prover vector.

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What this paper is about

Diagonal matrix,hermite matrix,skew-Hermitian matrix,unitary matrix,symmetric matrix,skew-symmetric matrix,orthogonal matrix are normal matrices.Normal matrices so formal as a wider range of matrices,it is necessary to determine the conditions for its further study.The determining conditions of normal matrices was disussed in aspects of definition,matrix diagonalization,eigenvalue and eigenvector,matrix realand and imaginary parts,matrix decomposition and prover vector.

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Available abstract

Diagonal matrix,hermite matrix,skew-Hermitian matrix,unitary matrix,symmetric matrix,skew-symmetric matrix,orthogonal matrix are normal matrices.Normal matrices so formal as a wider range of matrices,it is necessary to determine the conditions for its further study.The determining conditions of normal matrices was disussed in aspects of definition,matrix diagonalization,eigenvalue and eigenvector,matrix realand and imaginary parts,matrix decomposition and prover vector.

Key concepts: Skew-symmetric matrix, Mathematics, Centrosymmetric matrix, Matrix function, Eigendecomposition of a matrix, Square matrix, Symmetric matrix, Matrix (chemical analysis)

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