Description:
Abstract
In this paper, we studied and found the new matrices of 3×3, which it have similar
properties to Fibonacci Q −matrix. Moreover, we studied and found the matrix formula
1 1
2 2
0 2 0 1 0 0 2
1 1 0 0 1 1 1
1 3 0 1 1 1 3
n
n n
n
n n
n n
F L
Q F L
F L
+ +
+ +
= =
when n F and n L are Fibonacci and Lucas sequences, respectively.