Some properties of Max-Plus Algebra and generalized inverses on 2x2 matrices integers modulo 3

I. Hadi; Y. Mahatma; A. Sulistyaningrum

doi:10.1088/1742-6596/1869/1/012147

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Some properties of Max-Plus Algebra and generalized inverses on 2x2 matrices integers modulo 3

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I. Hadi, Y. Mahatma, A. Sulistyaningrum

2021 Journal of Physics: Conference Series Vol. 1869 Issue 1 Conference paper Cited by 0 SDG 4SDG 16

Abstract

The properties of Max Plus Algebra can be applied to the matrix. Furthermore, the generalized inverses in a matrix can also be related to this algebra. This paper discusses some properties of these concepts on 2 x 2 matrices integers modulo 3. Here, we derive the properties of matrices in this algebra. Then, the generalized inverses in these matrices is formed. We conclude that there is some relation between the matrices and its generalized inverses. Some examples of matrices are given to illustrate the properties. © Published under licence by IOP Publishing Ltd.

Affiliations

Faculty of Mathematics and Science, Universitas Negeri Jakarta, Jalan Rawamangun Muka, Jakarta, 13220, Indonesia

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