Linear algebra is a branch of mathematics concerning vector spaces and linear mappings between such spaces. Simply, it explores linelike relationships. Practically every area of modern science approximates modeling equations with linear algebra. In particular, data science relies on linear algebra for machine learning, mathematical modeling, and dimensional distribution problem solving.

## Vector Spaces

A vector space is a collection of vectors. A vector is any quantity with magnitude and direction that determines the position of one point in space relative to another. Magnitude ...