Web Reference: Jul 23, 2025 · A vector subspace is a subset of a vector space that is itself a vector space under the same operations of vector addition and scalar multiplication. In other words, a subspace inherits the structure of the larger vector space. Learn the definition and properties of vector spaces and subspaces, and how to find them in Rn and other spaces. See examples of matrices, functions, and planes as vector spaces and subspaces. The definition of subspaces in linear algebra are presented along with examples and their detailed solutions.
YouTube Excerpt: These are smaller spaces contained within a larger
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