Spanning Sets

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 building blocks: with the right arrangement and mixing, you can create any structure within the space. In mathematical terms, if you have a spanning set, you can reach any point in the space by adding and scaling the vectors in the set. This concept helps identify the minimum number of vectors needed to describe or generate the entire space.