Some properties of Max-Plus Algebra and Generalized Inverses on 2x2 Matrices Integers Modulo 3
Ibnu Hadi(a*), Yudi Mahatma(a**), Andita Sulistyaningrum(a***)

a) Faculty of Mathematics and Natural Science, Universitas Negeri Jakarta
Jalan Rawamangun Muka, Jakarta, 13220, Indonesia
*) ibnu_hadi[at]unj.ac.id
**) yudi_mahatma[at]unj.ac.id
***) andita2000[at]gmail.com

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 this matrices is formed. We conclude that there is some relation betweeen the matrices and its generalized inverses. Some examples of matrices are given to ilustrate the properties

Keywords: Max-Plus Algebra, Generalized Inverses, Matrices Integers Modulo 3

Topic: Mathematics