The determination of the tribe of family members in Luhak Limopuluh Koto, West Sumatera Indonesia

Abstract

In this paper, some mathematical models that state the tribe of the family members in Nagari Luhak Limopuluh Koto West Sumatera, Indonesia were built. The models were constructed by using the marriage rule and the ethnic data of Minangkabau community which embrace the matrilineal system. The marriage rule prohibits the same inter-tribal marriage while the matrilineal system causes the mother, child, and sibling tribes to be equal. Therefore, the matrices formed by marriage rule, mother-son tribal relation, someone-his/her sibling tribal relation, and the transpose of the matrices, are used in matrix multiplication to obtain the tribal models. The models are consecutively A, AC', (AC')B, ((AC')B)W', ((AC')B)C, ((AC')B)W, ((AC')W' for Denai, Denai's mother, the sister of Denai's mother, the brother of Denai's mother, the husband of Denai's mother's sister, the son of Denai's mother's sister, the wife of Denai's mother's brother, and the Denai's father models.