1 8 Intro to Linear Transformation

In algebra and calculus, you worked with functions f: R→R whose domain and codomain were each the set of all real numbers. In linear algebra, we call our functions transformations. The domain and codomain of a transformation are vector spaces. A typical transformation T will map vectors of R^n into R^m. Linear transformations are transformations that satisfy a particular property around addition and scalar multiplication. In this section we will focus our attention on the following key concepts: Transformation: Domain and Range Matrix Transformations (Matrix Acting on Vector/ Matrix-Vector Multiplication) Linear Transformation (Definition & Examples)