2012•Journal of Hefei University of TechnologyRequires access

Jordan's normal form of the matrix in an arbitrary field

Huazhang Wu

Abstract

According to the equivalence relation between the similarity of matrices and the similarity of linear operators,the similarity between usual linear transformation and shift operator Sq is utilized to prove the existence of the Jordan's normal form of a complex matrix in linear algebra,and the generalized Jordan's normal form of the matrix in an arbitrary field F is gotten.

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Key concepts: Matrix similarity, Mathematics, Linear map, Jordan matrix, Equivalence relation, Similarity (geometry), Matrix equivalence, Matrix (chemical analysis)