Using the companion matrices, we get more identities and Hessenberg matrices about Fibonacci and Tribonacci numbers.
By Fibonacci and Tribonacci numbers we can evaluate the determinants and permanents of some special Hessenberg matrices.
Citation
Jishe Feng. Hessenberg Matrices on Fibonacci and Tribonacci Numbers[J], Ars Combinatoria, Volume 127. 117-124. .