Spanning Set

A spanning set is a collection of vectors in a space such that any other vector in that space can be expressed as a combination of these vectors. Think of it like a set of ingredients that can be mixed in different ways to create all possible dishes (vectors) in a certain cuisine (space). In linear algebra, a spanning set provides a foundational basis from which all other vectors can be generated through addition and scalar multiplication. Essentially, it's a minimal toolkit that describes the entire space without missing any elements.