The general linear group, denoted as GL(n, F), 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 captures the concept of linear transformations that can be reversed. The group operation is matrix multiplication, and the identity element is the n x n identity matrix. The general linear group has various applications in mathematics and physics, including the study of symmetries and transformations. Its structure can be analyzed using concepts from group theory, such as subgroups and representations, making it a fundamental object of study in both pure and applied mathematics.