The GCD-Reciprocal LCM Matrices on GCD-Closed Sets

Ayşe NaIII; Dursun Taşci

doi:10.3390/mca9010101

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Article

1 April 2004

The GCD-Reciprocal LCM Matrices on GCD-Closed Sets

and

Department of Mathematics, Selcuk University, 42031, Campus-Konya, Turkey

Department of Mathematics, Gazi University, Teknikokullar-Ankara, Turkey

Author to whom correspondence should be addressed.

Math. Comput. Appl.2004, 9(1), 101-106;https://doi.org/10.3390/mca9010101

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Abstract

We have given a structure theorem for the GCD-Reciprocal LCM matrix and then we have calculated the value of the determinant of the GCD-Reciprocal LCM matrix. We have obtained formula for the determinant and the inverse of the GCD-Reciprocal LCM matrix defined on gcd-closed sets.

Keywords:

Greatest common divisor; GCD matrices; LDM matrices.

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