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
Recommended Citation
Adkins, W., & Davidson, M. (2003). The Cayley-Hamilton and Frobenius theorems via the Laplace transform. Linear Algebra and Its Applications, 371 (SUPPL.), 147-152. https://doi.org/10.1016/S0024-3795(03)00427-0
