Nur Nadiah Abd Hamid2026-03-222026-03-22202510.12962/j24775401.v11i1.21470https://doi.org/10.12962/j24775401.v11i1.21470https://andeanlibrary.org/handle/123456789/76939This paper investigates the Terwilliger algebras of some group association schemes related to matrix groups. We obtain the structure of the Terwilliger algebras for the general and the special linear group of 2 × 2 matrices over the field of order 5. In particular, we determine the Wedderburn decomposition of these algebras.enAssociation (psychology)Group (periodic table)Algebra over a fieldPure mathematicsMathematicsAssociation schemeMatrix (chemical analysis)Psychologyarticle