TY  - JOUR
T1  - The Determinant of Cubic-Matrix of Order 2 and Order 3, Some Basic Properties and Algorithms
AU  - Salihu, Armend
AU  - Zaka, Orgest
PY  - 2024
DA  - December
Y2  - 2024
DO  - 10.55549/epstem.1605538
JF  - The Eurasia Proceedings of Science Technology Engineering and Mathematics
JO  - EPSTEM
PB  - ISRES Publishing
WT  - DergiPark
SN  - 2602-3199
SP  - 488
EP  - 514
VL  - 32
LA  - en
AB  - Based on geometric intuition, in this paper we are trying to give an idea and visualize the meaning of the determinants for the cubic-matrix. In this paper we have analysed the possibilities of developing the concept of determinant of matrices with three indexed 3D Matrices. We define the concept of determinant for cubic-matrix of order 2 and order 3, study and prove some basic properties for calculations of determinants of cubic-matrix of order 2 and 3. Furthermore we have also tested several square determinant properties and noted that these properties also are applicable on this concept of 3D Determinants.
KW  - 3D determinants
KW  - Determinant properties
KW  - Computer algorithm
KW  - Time complexity.
CR  - Salihu, A., & Zaka, O. (2024). The determinant of cubic-matrix of order 2 and order 3, some basic properties and algorithms. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 32, 488-514.
UR  - https://doi.org/10.55549/epstem.1605538
L1  - https://dergipark.org.tr/en/download/article-file/4459081
ER  -