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  2. Linear span - Wikipedia

    en.wikipedia.org/wiki/Linear_span

    In mathematics, the linear span (also called the linear hull [1] or just span) of a set of elements of a vector space is the smallest linear subspace of that contains . It is the set of all finite linear combinations of the elements of S , [ 2 ] and the intersection of all linear subspaces that contain S . {\displaystyle S.}

  3. Row and column spaces - Wikipedia

    en.wikipedia.org/wiki/Row_and_column_spaces

    In linear algebra, the column space (also called the range or image) of a matrix A is the span (set of all possible linear combinations) of its column vectors. The column space of a matrix is the image or range of the corresponding matrix transformation .

  4. Closure (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Closure_(mathematics)

    In linear algebra, the closure of a non-empty subset of a vector space (under vector-space operations, that is, addition and scalar multiplication) is the linear span of this subset. It is a vector space by the preceding general result, and it can be proved easily that is the set of linear combinations of elements of the subset.

  5. Span (category theory) - Wikipedia

    en.wikipedia.org/wiki/Span_(category_theory)

    There is a trivial span A ← A → B, where the left map is the identity on A, and the right map is the given map φ. If M is a model category , with W the set of weak equivalences , then the spans of the form X ← Y → Z , {\displaystyle X\leftarrow Y\rightarrow Z,} where the left morphism is in W, can be considered a generalised morphism ...

  6. Worksheet - Wikipedia

    en.wikipedia.org/wiki/Worksheet

    It can be a printed page that a child completes with a writing instrument. No other materials are needed. In education, a worksheet may have questions for students and places to record answers. In accounting, a worksheet is, or was, a sheet of ruled paper with rows and columns on which an accountant could record information or perform calculations.

  7. Linear subspace - Wikipedia

    en.wikipedia.org/wiki/Linear_subspace

    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 .

  8. Schauder basis - Wikipedia

    en.wikipedia.org/wiki/Schauder_basis

    tends to 0 when n → ∞, where F n is the linear span of the basis vectors e m for m ≥ n. The unit vector basis for ℓ p, 1 < p < ∞, or for c 0, is shrinking. It is not shrinking in ℓ 1: if f is the bounded linear functional on ℓ 1 given by

  9. Accounting equation - Wikipedia

    en.wikipedia.org/wiki/Accounting_equation

    The accounting equation plays a significant role as the foundation of the double-entry bookkeeping system. The primary aim of the double-entry system is to keep track of debits and credits and ensure that the sum of these always matches up to the company assets, a calculation carried out by the accounting equation.

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