Linear independence/Related Articles: Difference between revisions

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Latest revision as of 17:06, 11 January 2010

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A list of Citizendium articles, and planned articles, about Linear independence.
See also changes related to Linear independence, or pages that link to Linear independence or to this page or whose text contains "Linear independence".

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  • Basis (linear algebra) [r]: A set of vectors that, in a linear combination, can represent every vector in a given vector space or free module, and such that no element of the set can be represented as a linear combination of the others. [e]
  • Basis (mathematics) [r]: Add brief definition or description
  • Cauchy-Schwarz inequality [r]: The inequality or its generalization |⟨x,y⟩| ≤ ||x|| ||y||. [e]
  • Diagonal matrix [r]: A square matrix which has zero entries off the main diagonal. [e]
  • Gram-Schmidt orthogonalization [r]: Sequential procedure or algorithm for constructing a set of mutually orthogonal vectors from a given set of linearly independent vectors. [e]
  • Matroid [r]: Structure that captures the essence of a notion of 'independence' that generalizes linear independence in vector spaces. [e]
  • Ring (mathematics) [r]: Algebraic structure with two operations, combining an abelian group with a monoid. [e]
  • Sequence [r]: An enumerated list in mathematics; the elements of this list are usually referred as to the terms. [e]
  • Serge Lang [r]: (19 May 1927 – 12 September 2005) French-born American mathematician known for his work in number theory and for his mathematics textbooks, including the influential Algebra. [e]
  • Span (mathematics) [r]: The set of all finite linear combinations of a module over a ring or a vector space over a field. [e]
  • Vector space [r]: A set of vectors that can be added together or scalar multiplied to form new vectors [e]