Vector space/Related Articles: Difference between revisions

Revision as of 15:49, 6 January 2009

Linear algebra [r]: Branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations. ^[e]
Vector [r]: Please do not use this term in your topic list, because there is no single article for it. Please substitute a more precise term. See vector (disambiguation) for a list of available, more precise, topics. Please add a new usage if needed.
Scalar [r]: Real or complex number, or an invariant under orthogonal/unitary transformation of reference frame. ^[e]

Abstract algebra [r]: Branch of mathematics that studies structures such as groups, rings, and fields. ^[e]
Module (mathematics) [r]: Add brief definition or description

Linear combination [r]: Expression of first order, composed of the sums and differences of elements with coefficients in a field, such as the field of real numbers. ^[e]
Linear independence [r]: The property of a system of elements of a module or vector space, that no non-trivial linear combination is zero. ^[e]
Span (algebra) [r]: Add brief definition or description
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]
Dimension (vector space) [r]: The number of elements in any basis for a vector space. ^[e]

Normed linear space [r]: Add brief definition or description
Inner product space [r]: A vector space that is endowed with an inner product and the corresponding norm. ^[e]

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 ==Subtopics==
 {{r|linear combination}}
-{{r|linearly independent}}
+{{r|linear independence}}
-{{r|span (mathematics)}}
+{{r|span (algebra)}}
-{{r|basis (mathematics)}}
+{{r|basis (linear algebra)}}
 {{r|dimension (vector space)}}