Generalized F-nomial matrix and factorizations

Abstract

In this study we define the generalized k-order Fibonacci matrix and the n x n generalized Pascal matrix Fn{GF) associated with generalized F-nomial coefficients. We find the inverse of generalized Pascal matrix F n(GF) associated with generalized F - nomial coefficients. In the last section we factorize this matrix via generalized k-order Fibonacci matrix and give illustrative examples for these factorizations. Copyright © 2013, Charles Babbage Research Centre.