- Hacettepe Journal of Mathematics and Statistics
- Vol: 42 Issue: 2
- On Generalized Fibonacci And Lucas Numbers By Matrix Methods
On Generalized Fibonacci And Lucas Numbers By Matrix Methods
Authors : Gamaliel Cerda-morales
Pages : 173-179
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Publication Date : 2013-02-01
Article Type : Other
Abstract :In this study we define the generalized Lucas V (p, q)-matrix similar tothe generalized Fibonacci U (1, −1)-matrix. The V (p, q)-matrix is different from the Fibonacci U (p, q)-matrix, but is related to it. Using thismatrix representation, we have found some well-known equalities anda Binet-like formula for the generalized Fibonacci and Lucas numbers.Keywords : Matrix methods, generalized Lucas numbers, Binet’s formula.