Title

The Cayley-Hamilton and Frobenius theorems via the Laplace transform

Document Type

Article

Publication Date

9-15-2003

Abstract

The Cayley-Hamilton theorem on the characteristic polynomial of a matrix A and Frobenius' theorem on minimal polynomial of A are deduced from the familiar Laplace transform formula ℒ(e ) = (sI - A) . This formula is extended to a formal power series ring over an algebraically closed field of characteristic 0, so that the argument applies in the more general setting of matrices over a field of characteristic 0. © 2003 Elsevier Science Inc. All rights reserved. At -1

Publication Source (Journal or Book title)

Linear Algebra and Its Applications

First Page

147

Last Page

152

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