Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices

In this paper, we consider one of the most known Fibonacci matrix Q and the Fibonacci quaternion matrix MQFn, where Qn is the n-th Fibonacci quaternion. In particular we define some new quaternion matrices. Our object is to derive some identities concerning Fibonacci and Lucas quaternions by using some new quaternion matrices with terms Fibonacci and Lucas numbers