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A Generalization of the Cayley-Hamilton Theorem
Department of Mathematics and Statistics, Himachal Pradesh University, Shimla, India
- 1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla, India
Advances in Pure Mathematics·Volume 03 (2013)·Pages 109–115·Published 11 January 2013·DOI10.4236/apm.2013.31014
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Abstract
It is proposed to generalize the concept of the famous classical Cayley-Hamilton theorem for square matrices wherein for any square matrix A , the det ( A-xI ) is replaced by det f ( x ) for arbitrary polynomial matrix f ( x ) .
KeywordsPolynomial MatrixSquare MatrixNon-Singular MatrixAdjoint of a MatrixLeading Coefficient Matrix
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