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In this paper, in continuation of our work, on the determinants of cubic-matrix of order 2 and order 3, we have analyzed the possibilities ofdeveloping the concept of determinant of cubic-matrix with three indexes,studying the possibility of their calculation according the Laplace expansionmethod's. We have noted that the concept of permutation expansion which is usedfor square determinants, as well as the concept of Laplace expansion methodused for square and rectangular determinants, also can be utilized to be usedfor this new concept of 3D Determinants. In this paper we proved that theLaplace expansion method's is also valid for cubic-matrix of order 2 and order3, these results are given clearly and with detailed proofs, they are alsoaccompanied by illustrative examples. We also give an algorithmic presentationfor the Laplace expansion method's.

Laplace Method for calculate the Determinant of cubic-matrix of order 2 and order 3