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

## TL;DR

This paper defines the determinant and inverse for 3D matrices over a field, and introduces a new general linear group for 3D matrices, extending classical linear algebra concepts to higher dimensions.

## Contribution

It constructs the general linear group of degree n for 3D matrices, expanding the algebraic framework for 3D matrix analysis.

## Key findings

- Defined determinant for 3D matrices over a field
- Introduced inverse for 3D matrices
- Constructed the general linear group for 3D matrices

## 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 $GL(n,n,p;F)$' for 3D-matrices, analog to 'general linear group of degree $n$' known.