Web Reference: A subspace can be given to you in many different forms. In practice, computations involving subspaces are much easier if your subspace is the column space or null space of a matrix. In mathematics, and more specifically in linear algebra, a linear subspace or vector subspace[1][note 1] is a vector space that is a subset of some larger vector space. A linear subspace is usually simply called a subspace when the context serves to distinguish it from other types of subspaces. 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.
YouTube Excerpt: Now that we know what vector
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