The General Linear Group, denoted as GL(n, F), is a mathematical concept that consists of all invertible n x n matrices with entries from a field F. This group is important in linear algebra and abstract algebra because it describes the set of linear transformations that can be performed on n-dimensional vector spaces. The structure of GL(n, F) is significant in various areas of mathematics, including geometry and representation theory. The group operation is matrix multiplication, and the identity element is the n x n identity matrix. The study of this group helps in understanding symmetries and transformations in different mathematical contexts.