@article{article_1605538, title={The Determinant of Cubic-Matrix of Order 2 and Order 3, Some Basic Properties and Algorithms}, journal={The Eurasia Proceedings of Science Technology Engineering and Mathematics}, volume={32}, pages={488–514}, year={2024}, DOI={10.55549/epstem.1605538}, author={Salihu, Armend and Zaka, Orgest}, keywords={3D determinants, Determinant properties, Computer algorithm, Time complexity.}, 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.}, publisher={ISRES Publishing}