Figure 1 - uploaded by Orgest Zaka
Content may be subject to copyright.
The appearance of the addition of 3D matrix

The appearance of the addition of 3D matrix

Source publication
Preprint
Full-text available
In this article we give the meaning of the determinant for 3D matrices with elements from a field F, and the meaning of 3D reverse matrix. Based on my previous work titled '3D Matrix Rings', we want to constructed the 'general linear group of degree n for 3D matrices, which i mark with GL(n; n; p; F)'for 3D-matrices, analog to 'general linear group...

Context in source publication

Context 1
... appearance of the addition of m × n × p, 3D matrices will be as in Figure 1, where matrices A and B have the following appearance, Where (−a i,j,k ) is a opposite element of element a i,j,k ∈ F, so ...

Similar publications

Preprint
Full-text available
We study the multiplication operation of square matrices over lattices. If the underlying lattice is distributive, then matrices form a semigroup; we investigate idempotent and nilpotent elements and the maximal subgroups of this matrix semigroup. We prove that matrix multiplication over nondistributive lattices is antiassociative, and we determine...
Preprint
Full-text available
The elements of Markoff triples are given by coefficients in certain matrix products defined by Christoffel words, and the Markoff injectivity conjecture, a long-standing open problem, is then equivalent to injectivity on Christoffel words. A $q$-analog of these matrix products has been proposed recently by Leclere and Morier-Genoud, and we prove t...