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- Basis_(linear_algebra) abstract "Basis vector redirects here. For basis vector in the context of crystals, see crystal structure. For a more general concept in physics, see frame of reference.In linear algebra, a basis is a set of linearly independent vectors that, in a linear combination, can represent every vector in a given vector space or free module, or, more simply put, which define a "coordinate system" (as long as the basis is given a definite order). In more general terms, a basis is a linearly independent spanning set.Given a basis of a vector space, every element of the vector space can be expressed uniquely as a finite linear combination of basis vectors, whose coefficients are referred to as vector components. The statement that every vector space has a basis is equivalent to the axiom of choice. All bases of a vector space have the same number of elements, called the dimension of the vector space.".
- Basis_(linear_algebra) thumbnail 3d_two_bases_same_vector.svg?width=300.
- Basis_(linear_algebra) wikiPageExternalLink books?id=TDQJAAAAIAAJ.
- Basis_(linear_algebra) wikiPageExternalLink books?id=bKgAAAAAMAAJ&pg=PA1&dq=Die+Lineale+Ausdehnungslehre+ein+neuer+Zweig+der+Mathematik.
- Basis_(linear_algebra) wikiPageExternalLink 400338.
- Basis_(linear_algebra) wikiPageExternalLink docviewer?did=05230001&seq=9.
- Basis_(linear_algebra) wikiPageExternalLink video?v=Zn2K8UIT8r4.
- Basis_(linear_algebra) wikiPageExternalLink video?v=zntNi3-ybfQ.
- Basis_(linear_algebra) wikiPageExternalLink oeitem?id=OE_MOBIUS__1_1_0.
- Basis_(linear_algebra) wikiPageExternalLink fm3120.pdf.
- Basis_(linear_algebra) wikiPageExternalLink science?_ob=ArticleURL&_udi=B6WG9-45NJHDR-C&_user=1634520&_coverDate=12%2F31%2F1995&_rdoc=2&_fmt=high&_orig=browse&_srch=doc-info(%23toc%236817%231995%23999779996%23308480%23FLP%23display%23Volume)&_cdi=6817&_sort=d&_docanchor=&_ct=9&_acct=C000054038&_version=1&_urlVersion=0&_userid=1634520&md5=fd995fe2dd19abde0c081f1e989af006.
- Basis_(linear_algebra) wikiPageExternalLink science?_ob=ArticleURL&_udi=B6WG9-45NJHDR-D&_user=1634520&_coverDate=12%2F31%2F1995&_rdoc=3&_fmt=high&_orig=browse&_srch=doc-info(%23toc%236817%231995%23999779996%23308480%23FLP%23display%23Volume)&_cdi=6817&_sort=d&_docanchor=&_ct=9&_acct=C000054038&_version=1&_urlVersion=0&_userid=1634520&md5=4327258ef37b4c293b560238058e21ad.
- Basis_(linear_algebra) wikiPageID "18420".
- Basis_(linear_algebra) wikiPageRevisionID "604893658".
- Basis_(linear_algebra) hasPhotoCollection Basis_(linear_algebra).
- Basis_(linear_algebra) id "p/b015350".
- Basis_(linear_algebra) title "Basis".
- Basis_(linear_algebra) subject Category:Articles_containing_proofs.
- Basis_(linear_algebra) subject Category:Linear_algebra.
- Basis_(linear_algebra) subject Category:Matroid_theory.
- Basis_(linear_algebra) comment "Basis vector redirects here. For basis vector in the context of crystals, see crystal structure. For a more general concept in physics, see frame of reference.In linear algebra, a basis is a set of linearly independent vectors that, in a linear combination, can represent every vector in a given vector space or free module, or, more simply put, which define a "coordinate system" (as long as the basis is given a definite order).".
- Basis_(linear_algebra) label "Base (algebra lineare)".
- Basis_(linear_algebra) label "Base (algèbre linéaire)".
- Basis_(linear_algebra) label "Base (álgebra linear)".
- Basis_(linear_algebra) label "Base (álgebra)".
- Basis_(linear_algebra) label "Basis (Vektorraum)".
- Basis_(linear_algebra) label "Basis (lineaire algebra)".
- Basis_(linear_algebra) label "Basis (linear algebra)".
- Basis_(linear_algebra) label "Baza (przestrzeń liniowa)".
- Basis_(linear_algebra) label "Базис".
- Basis_(linear_algebra) label "قاعدة (جبر خطي)".
- Basis_(linear_algebra) label "基 (線性代數)".
- Basis_(linear_algebra) label "基底 (線型代数学)".
- Basis_(linear_algebra) sameAs Báze_(algebra).
- Basis_(linear_algebra) sameAs Basis_(Vektorraum).
- Basis_(linear_algebra) sameAs Base_(álgebra).
- Basis_(linear_algebra) sameAs Base_(algèbre_linéaire).
- Basis_(linear_algebra) sameAs Basis_(aljabar_linear).
- Basis_(linear_algebra) sameAs Base_(algebra_lineare).
- Basis_(linear_algebra) sameAs 基底_(線型代数学).
- Basis_(linear_algebra) sameAs 기저_(선형대수학).
- Basis_(linear_algebra) sameAs Basis_(lineaire_algebra).
- Basis_(linear_algebra) sameAs Baza_(przestrzeń_liniowa).
- Basis_(linear_algebra) sameAs Base_(álgebra_linear).
- Basis_(linear_algebra) sameAs m.04nx6.
- Basis_(linear_algebra) sameAs Q189569.
- Basis_(linear_algebra) sameAs Q189569.
- Basis_(linear_algebra) wasDerivedFrom Basis_(linear_algebra)?oldid=604893658.
- Basis_(linear_algebra) depiction 3d_two_bases_same_vector.svg.
- Basis_(linear_algebra) isPrimaryTopicOf Basis_(linear_algebra).
