Moore Determinant of Dual Quaternion Hermitian Matrices
arxiv(2024)
Abstract
In this paper, we extend the Chen and Moore determinants of quaternion
Hermitian matrices to dual quaternion Hermitian matrices. We show the Chen
determinant of dual quaternion Hermitian matrix is invariant under the
addition, switching, multiplication, and unitary operations at the both hand
sides. We then show the Chen and Moore determinants are equal to each other,
and they are also equal to the products of eigenvalues. The characteristic
polynomial of a dual quaternion Hermitian matrix is also studied.
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