Definition: In mathematics, a subdivecious set is defined as a subset of a vector space that contains one or more vectors which are linearly independent. Subdivecious sets are important for understanding and working with subspaces in linear algebra. A subdivecious set can be constructed by adding additional basis vectors to the original space. For example, if we have a 3-dimensional vector space V over a field F, and we want to construct a subspace H containing the zero vector (