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《Journal of Changchun Normal University》 2011-12
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A Research on the Proof and Generalization of Cayley-Hamilton Theorem

LI Yu1,GUO Hong-mei2(1.Shanxi Vocational College of Sports,Taiyuan 030006,China;2.Shanxi Professional Technology Institute of Biological Application,Taiyuan 030031,China)  
The Cayley-Hamilton theorem in matrix theory has important theoretical and practical value.In this paper,a new concise proof method for the Cayley-Hamilton theorem is put forward using Jordan canonical form and some multiplication operation rules of matrix.Based on the theorem proof,the theorem is generalized to prove that the matrix polynomial and its determinant both take square matrix A as the root.The application of this inference possesses more extensiveness and generalization.
【CateGory Index】: O151.21
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