KnowraColumn spaceLinked fromLinked fromThe 7 pages that link to Column space, each with the reason it gives.All 7Broader topic 2Related 5Least squaresRelated: Linear least squares finds the model vector in this space closest to the observations.Basis (linear algebra)Related: A basis for it identifies independent directions in the matrix's output.Linear independenceRelated: Independent columns form a basis for their column space without redundancy.Linear combinationBroader topic: Every attainable matrix output is a linear combination of its columns.Fundamental theorem of linear algebraRelated: It is the orthogonal complement of the left null space.Frisch–Waugh–Lovell theoremRelated: Controls remove the components lying in their design matrix's column space.Steinitz exchange lemmaBroader topic: Applying exchange to the columns bounds the number of independent columns by the total number supplied.