In this paper, we investigate interesting relationships between Riordan arrays and k-order Fibonacci matrices, which offer a unified approach to studying some lower triangular matrices, including Fuss-Catalan matrices, harmonic matrices, and others. We present factorizations of Riordan arrays via k-order Fibonacci matrices. Furthermore, based on matrix representations, we derive various combinatorial identities.
Zhang et al. (Wed,) studied this question.