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In linear algebra, a coordinate vector is a representation of a vector as an ordered list of numbers that describes the vector in terms of a particular ordered basis. Coordinates are always specified relative to an ordered basis. Bases and their associated coordinate representations let one realize vector spaces and linear transformations concretely as column vectors, row vectors, and matrices; hence, they are useful in calculations. The idea of a coordinate vector can also be used for infinite-dimensional vector spaces, as addressed below.

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rdfs:label	Coordinate vector (en)
rdfs:comment	In linear algebra, a coordinate vector is a representation of a vector as an ordered list of numbers that describes the vector in terms of a particular ordered basis. Coordinates are always specified relative to an ordered basis. Bases and their associated coordinate representations let one realize vector spaces and linear transformations concretely as column vectors, row vectors, and matrices; hence, they are useful in calculations. The idea of a coordinate vector can also be used for infinite-dimensional vector spaces, as addressed below. (en)
sameAs	Coordinate vector Coordinate vector
dbp:wikiPageUsesTemplate	dbt:Refimprove dbt:Reflist
Subject	Vectors (mathematics and physics) Linear algebra
gold:hypernym	Representation
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Coordinate_vector?oldid=1071885642&ns=0
Wikipage page ID	879358 (xsd:integer)
page length (characters) of wiki page	7267 (xsd:nonNegativeInteger)
Wikipage revision ID	1071885642 (xsd:integer)
Link from a Wikipage to another Wikipage	List of things named after Charles Hermite Row and column vectors Automorphism Basis (linear algebra) Sequence Vectors (mathematics and physics) Linear algebra Differential operator Dimension (vector space) Quantum state Change of basis Linear algebra Linear combination Linear map Primitive ring Coordinate system Eigenvalues and eigenvectors Spin (physics) Field (mathematics) Inverse function Invertible matrix Pauli matrices Transpose Vector space Isomorphism Matrix (mathematics) Polynomial
has abstract	In linear algebra, a coordinate vector is a representation of a vector as an ordered list of numbers that describes the vector in terms of a particular ordered basis. Coordinates are always specified relative to an ordered basis. Bases and their associated coordinate representations let one realize vector spaces and linear transformations concretely as column vectors, row vectors, and matrices; hence, they are useful in calculations. The idea of a coordinate vector can also be used for infinite-dimensional vector spaces, as addressed below. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Coordinate_vector
is Wikipage redirect of	Basis transformation matrix Coordinates vector
is Link from a Wikipage to another Wikipage of	Local asymptotic normality Norm (mathematics) APL (programming language) Addition Array data structure Attractor Basis (linear algebra) Brinkmann coordinates Cartesian tensor Glossary of calculus Differential form Discrete Fourier transform Dot product Metric tensor Naor–Reingold pseudorandom function Change of basis Chebyshev distance Classical control theory Cubic harmonic Curvilinear coordinates Delone set Linear algebra Line fitting List of linear algebra topics List of named matrices Code-division multiple access Continuum mechanics Control theory Covariance and contravariance of vectors Eigenvalues and eigenvectors Einstein notation Homogeneous function First article inspection Function of a real variable Gravitational lensing formalism Fast Fourier transform Hamming bound Hat operator Initial condition Lagrangian mechanics Euclidean space Euclidean vector Lorentz transformation Least-squares spectral analysis Lifson–Roig model Matrix multiplication Multilinear subspace learning Multiplication and repeated addition Basis transformation matrix Coordinates vector
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Coordinate_vector

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