Transformaciones lineales

Transformaciones lineales, or linear transformations, are functions that map vectors from one space to another while preserving addition and scalar multiplication. Essentially, they change a shape or data in a way that straight lines remain straight and the origin stays fixed. Examples include rotations, scalings, or shearing of geometric figures. These transformations can be represented mathematically using matrices, allowing for systematic and predictable changes to data or shapes, which are fundamental in areas like computer graphics, engineering, and physics.