This final project discusses the proof for q-analogue of the Riordan representation of the q-Pascal matrices and q-analogue of the Riordan representation for its invers q-Pascal matrix. This project is completed by using binary operations ∗q for q-Pascal matrices and binary operations ∗1=q for invers q-Pascal matrix. This final project is a review of some parts of article Tu˘glu et al.…