Fikret IŞIK, Yasemin Taşyurdu

Determinants and Permanents of Hessenberg Matrices with Fibonacci-Like Sequences

In this paper, we consider Hessenberg matrices and Fibonacci-Like sequences that is defined by therecurrence relation Tn = Tn−1 + Tn−2, n ≥ 2 and T0 = m, T1 = m where m is a fixed positive integer. We define twon × n Hessenberg matrices with applications to the Fibonacci-Like sequences and investigate the determinantal andpermanental properties. We obtain that the determinants and permanents of these Hessenberg matrices are equal tothe nth term of Fibonacci-Like sequences.

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