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DETERMINANTS AND PERMANENTS OF POWER MATRICES

Part of: Basic linear algebra

Published online by Cambridge University Press:  17 May 2021

RATSIRI SANGUANWONG  and
KIJTI RODTES Open the ORCID record for KIJTI RODTES [Opens in a new window]
RATSIRI SANGUANWONG
Affiliation:
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand e-mail: [email protected]
KIJTI RODTES*
Affiliation:
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
*
e-mail: [email protected]
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Abstract

Necessary and sufficient conditions for the equality of the determinant and permanent for all powers of a given matrix are provided. The characterisation is based on a condition on merely one power.

Keywords

determinantpermanent

MSC classification

Primary: 15A15: Determinants, permanents, other special matrix functions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 105 , Issue 1 , February 2022 , pp. 37 - 45
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Copyright
© 2021 Australian Mathematical Publishing Association Inc.

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References

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