General Linear Group (GL)

The General Linear Group (GL) is a mathematical concept that includes all invertible matrices—grid-like arrangements of numbers—that can be used to transform space, such as resizing, rotating, or skewing objects. Each matrix in GL represents a specific transformation, and because these transformations can be reversed, the matrices are invertible. GL helps mathematicians understand how different transformations behave and interact, especially in spaces of multiple dimensions, making it fundamental in fields like geometry, physics, and computer graphics for manipulating and understanding shapes and spaces systematically.