A New Approach to Bicomplex Jacobsthal Matrix and Bicomplex Jacobsthal-Lucas Matrix Components
Ali Atasoy *
Keskin Vocational School, Kırıkkale University, Kırıkkale, 71800, Turkey.
Faik Babadağ
Department of Mathematics, Kırıkkale University, Kırıkkale, 71450, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this present paper, we give a detailed study of a new generation of Bicomplex Jacobsthal matrix and Bicomplex Jacobsthal-Lucas matrix using Jacobsthal -matrix and Jacobsthal Lucas -matrix. Also presented some formulas, facts, and properties about these matrices. In addition, a new vector called the bicomple Jacobsthalvectors and the bicomplex Jacobsthal-Lucas vectors with matrix components is presented.
Some properties of this vector apply to various properties of geometry which are not generally known in the geometry of space. Then, using this matrix representation, we give some identities.
Keywords: Bicomplex Jacobsthal matrix, bicomplex Jacobsthal-Lucas matrix, Jacobsthal numbers, Jacobsthal-Lucas numbers