2012Journal of Chongqing Technology and Business UniversityRequires access

Several Properties of Row Orthogonal Matrix

YU Hai-ping

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Abstract

This paper gives the concept of row orthogonal matrix and center symmetric matrix,discusses the reversibility of row orthogonal matrix,center symmetry and so on,and comes to the conclusions that the transpose matrix of row orthogonal matrix is still row orthogonal matrix,that row orthogonal matrix is center symmetric matrix,that the transpose matrix of row orthogonal matrix and its row transpose matrix and column transpose matrix are center symmetric matrix,that its reverse matrix and its accompanying matrix are also center symmetric matrix,the sum of many row orthogonal matrices is still center symmetric matrix.

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What this paper is about

This paper gives the concept of row orthogonal matrix and center symmetric matrix,discusses the reversibility of row orthogonal matrix,center symmetry and so on,and comes to the conclusions that the transpose matrix of row orthogonal matrix is still row orthogonal matrix,that row orthogonal matrix is center symmetric matrix,that the transpose matrix of row orthogonal matrix and its row transpose matrix and column transpose matrix are center symmetric matrix,that its reverse matrix and its accompanying matrix are also center symmetric matrix,the sum of many row orthogonal matrices is still center symmetric matrix.

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Available abstract

This paper gives the concept of row orthogonal matrix and center symmetric matrix,discusses the reversibility of row orthogonal matrix,center symmetry and so on,and comes to the conclusions that the transpose matrix of row orthogonal matrix is still row orthogonal matrix,that row orthogonal matrix is center symmetric matrix,that the transpose matrix of row orthogonal matrix and its row transpose matrix and column transpose matrix are center symmetric matrix,that its reverse matrix and its accompanying matrix are also center symmetric matrix,the sum of many row orthogonal matrices is still center symmetric matrix.

Key concepts: Transpose, Symmetric matrix, Hollow matrix, Centrosymmetric matrix, Orthogonal matrix, Square matrix, Single-entry matrix, Matrix (chemical analysis)

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