👉 Gaugeable is a mathematical concept in linear algebra, particularly in the context of vector spaces. A vector space is said to be gaugeable if it has a basis consisting of vectors that can be expressed as linear combinations of other vectors. This means that any vector in the space can be uniquely represented by a scalar product of its components with one or more other vectors, and this representation is unique for each vector in the space. For example, consider the vector space $\mathbb{R}^
