👉 Non-residual is a mathematical concept in linear algebra and functional analysis used to describe a vector space without any nonzero vectors. It is named after the idea that if a vector space has zero elements, it cannot be uniquely specified by its basis vectors. In other words, a vector space with non-zero elements would have a basis consisting entirely of non-zero vectors. This concept is crucial in understanding how linear transformations work and is fundamental to many areas of mathematics, including linear algebra, functional analysis, and quantum
