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Based on geometric intuition, in this paper we are trying to give an idea andvisualize the meaning of the determinants for the cubic-matrix. In this paperwe have analyzed the possibilities of developing the concept of determinant ofmatrices with three indexed 3D Matrices. We define the concept of determinantfor cubic-matrix of order 2 and order 3, study and prove some basic propertiesfor calculations of determinants of cubic-matrix of order 2 and 3. Furthermorewe have also tested several square determinant properties and noted that theseproperties also are applicable on this concept of 3D Determinants.

The Determinant of Cubic-Matrix of order 2 and order 3: Some basic Properties and Algorithms