Double Mersenne number in maximum and minimum matrices

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DOI:

https://doi.org/10.26637/MJM0804/0034

Abstract

We define the double Mersenne minimum matrices and double Mersenne maximum matrices separately. We calculate the determinant and inverse of double Mersenne minimum matrices and double Mersenne maximum matrices by using arithmetical functions.

Keywords:

Minimum matrix, Maximum matrix, Double Mersenne Minimum matrix, Double Mersenne Maximum matrix

Mathematics Subject Classification:

Mathematics
  • N. Elumalai PG and Research Department of Mathematics, A.V.C. College (Autonomous) (Affiliated to Bharathidasan University, Trichy), Mannampandal, Mayiladuthurai-609305, Tamil Nadu, India.
  • R. Muthamizh Selvi PG and Research Department of Mathematics, A.V.C. College (Autonomous) (Affiliated to Bharathidasan University, Trichy), Mannampandal, Mayiladuthurai-609305, Tamil Nadu, India.
  • Pages: 1539-1542
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

Mika Mattila and PenttiHaukkanen, Studying the various properties of MIN and MAX matrices - elementary vs. more advanced methods, Spec. Matrices, 4(2016), 101109.

Smith, H.J.S., On the Value of Certain Arithmetical Determinant, Proceeding on The London Mathematical Society, $7(1875 / 1876), 208-212$.

N. Elumalai, Mrs. R. MuthamizhSelvi, Max- Min Matrices Using Mersenne Number, JETIR 5(8)(2018), 1808455 .

Mika mattila and PenttiHaukkanen, Studying the various properties of MIN and MAX matrices-elementary vs. more advanced methods, Spec. Matrices, 4(2016), 101109.

Pingyuan Zhou, The Strong Finiteness of Double Mersenne Primes and the Infinity of Root Mersenne Primes and Near-square Primes of Mersenne Primes, Vixra, 1(2014), 1-10.

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Published

01-10-2020

How to Cite

N. Elumalai, and R. Muthamizh Selvi. “Double Mersenne Number in Maximum and Minimum Matrices”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 1539-42, doi:10.26637/MJM0804/0034.