TY  - JOUR
T1  - Obtaining Some Identities With the nth Power of a Matrix Under the Lorentzian Product
AU  - Gökcan, İbrahim
AU  - Değer, Ali Hikmet
PY  - 2020
DA  - December
Y2  - 2020
JF  - Conference Proceedings of Science and Technology
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2651-544X
SP  - 102
EP  - 109
VL  - 3
IS  - 1
LA  - en
AB  - The Fibonacci number sequence and related calculations come up in scientific facts in many events we encounter indaily life. This special number sequence is processed in the occurrence of many events such as calculating the diameter of the equatorial circumference of the Earth, flowers, growth and structures of leaves, trees, reproduction of bees, sunflower and so on. [6]. However, in recent years, the relation between the Fibonacci and Lucas Number sequences with continued fractions and matrices has intensively been studied. Many identities have been found by some 2X2 types of special matrices with nth power that have been associated with the Fibonacci and Lucas numbers. The aim of this study is to examine matrix (1 1 -1 0) under the lorentzian matrix product with nth power, quadratic equations and characteristic roots unlike the classical matrix product. In addition, we want to acquire some identities with the help of matrix (1 1 -1 0) under the lorentzian matrix product with nth powerin relation to the Fibonacci and Lucas numbers.
KW  - Characteristic root
KW  - Fibonacci and lucas numbers
KW  - Lorentzian matrix multiplication
KW  - Quadratic equation
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UR  - https://dergipark.org.tr/tr/pub/cpost/issue//773251
L1  - https://dergipark.org.tr/tr/download/article-file/1214171
ER  -