Linear independence/Related Articles

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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 $\textstyle (\sum _{i}x_{i}y_{i})^{2}\leq (\sum _{i}x_{i}^{2})(\sum _{i}y_{i}^{2})$ 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]