The Determinant of Cubic-Matrix of Order 2 and Order 3, Some Basic Properties and Algorithms

Year 2024, Volume: 32, 488 - 514, 30.12.2024

Armend Salihu Orgest Zaka

https://doi.org/10.55549/epstem.1605538

Abstract

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.

Keywords

3D determinants , Determinant properties , Computer algorithm , Time complexity.

References

• 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.