Cayley-Hamilton theorem for left eigenvalues of 3 × 3 quaternionic matrices

Cayley-Hamilton theorem for left eigenvalues of 3 × 3 quaternionic matrices

We prove that any quaternionic matrix of order n ≤3 admits a characteristic function, whose roots are the left eigenvalues, that satisfes Cayley-Hamilton theorem.

Bibliographic Details
Main Authors: Macías-Virgós E., Pereira-Sáez M.J.
Format: Article
Language:English
Published: De Gruyter 2014-02-01
Series:Special Matrices
Subjects:
quaternionic matrix
left eigenvalue
characteristic function
cayley-hamilton theorem
Online Access:https://doi.org/10.2478/spma-2014-0002
Description
Summary:We prove that any quaternionic matrix of order n ≤3 admits a characteristic function, whose roots are the left eigenvalues, that satisfes Cayley-Hamilton theorem.
ISSN:2300-7451

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