Relation between Lah matrix and
k-Fibonacci Matrix

Irda Melina Zet; Sri Gemawati; Kartini Kartini

doi:https://doi.org/10.14445/22315373/IJMTT-V66I10P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 10 | Year 2020 | Article Id. IJMTT-V66I10P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I10P513

Relation between Lah matrix and k-Fibonacci Matrix

Irda Melina Zet, Sri Gemawati, Kartini Kartini

Abstract

The Lah matrix is represented by 𝐿𝑛, is a matrix where each entry is Lah number. Lah number is count the number of ways a set of n elements can be partitioned into k nonempty linearly ordered subsets. k-Fibonacci matrix, 𝐹𝑛 (𝑘) is a matrix which all the entries are k-Fibonacci numbers. k-Fibonacci numbers are consist of the first term being 0, the second term being 1 and the next term depends on a natural number k. In this paper, a new matrix is defined namely 𝐴𝑛 where it is not commutative to multiplicity of two matrices, so that another matrix 𝐵𝑛 is defined such that 𝐴𝑛 ≠ 𝐵𝑛. The result is two forms of factorization from those matrices. In addition, the properties of the relation of Lah matrix and kFibonacci matrix is yielded as well.

Keywords

Lah numbers, Lah matrix, k-Fibonacci numbers, k-Fibonacci matrix.

References

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Citation :

Irda Melina Zet, Sri Gemawati, Kartini Kartini, "Relation between Lah matrix and k-Fibonacci Matrix," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 10, pp. 116-122, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I10P513