The general linear group of degree $n$ for $3$D matrices $GL(n,n,p;F)$

zbMATH Open1451.15007arXiv1904.11499MaRDI QIDQ5126802

Publication date: 20 October 2020

Abstract: In this article we give the meaning of the determinant for 3D matrices with elements from a field F, and the meaning of 3D inverse 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

G L (n, n, p; F)

' for 3D-matrices, analog to 'general linear group of degree

n

' known.

Full work available at URL: https://arxiv.org/abs/1904.11499

zbMATH Keywords

determinant inverse general linear group of matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Other matrix groups over fields (20H20) Applications of generalized inverses (15A10)

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