1. a subset of a vector space that is itself a vector space under the same operations
Usage: mathematics; linear algebra
2. a space that exists within or is part of a larger space
Usage: physics; science fiction

Examples

• The set of all vectors in the plane forms a subspace of three-dimensional space.
• In linear algebra, we studied how to determine if a given set is a subspace.
• The professor explained that any line through the origin is a subspace of the coordinate plane.
• Science fiction often depicts ships traveling through subspace to achieve faster-than-light travel.
• The physicist theorized about the existence of subspaces within our universe.
• To prove it’s a subspace, you must show it’s closed under addition and scalar multiplication.