In linear algebra, a branch of mathematics, a k-frame is an ordered set of k linearly independent vectors in a vector space; thus k ≤ n, where n is the dimension of the space, and if k = n an n-frame is precisely an ordered basis. If the vectors are orthogonal, or orthonormal, the frame is called an orthogonal frame, or orthonormal frame, respectively.
Property |
Value |
dbo:abstract |
In linear algebra, a branch of mathematics, a k-frame is an ordered set of k linearly independent vectors in a vector space; thus k ≤ n, where n is the dimension of the space, and if k = n an n-frame is precisely an ordered basis. If the vectors are orthogonal, or orthonormal, the frame is called an orthogonal frame, or orthonormal frame, respectively. (en) |
dbo:wikiPageID |
22256304 (xsd:integer) |
dbo:wikiPageLength |
1543 (xsd:nonNegativeInteger) |
dbo:wikiPageRevisionID |
1024613067 (xsd:integer) |
dbo:wikiPageWikiLink |
dbr:Basis_(linear_algebra) dbr:Vector_space dbr:Mathematics dbr:Orthogonality dbr:Orthonormality dbr:Linear_algebra dbc:Linear_algebra dbr:Parallelepiped dbr:Dimension_(vector_space) dbr:Frame_(linear_algebra) dbr:Moving_frame dbr:Orthonormal_frame dbr:Ordered_set dbr:Frame_of_a_vector_space dbr:Linearly_independent dbr:Stiefel_manifold dbr:Gram_determinant |
dbp:wikiPageUsesTemplate |
dbt:About dbt:Citation_needed |
dct:subject |
dbc:Linear_algebra |
gold:hypernym |
dbr:Set |
rdfs:comment |
In linear algebra, a branch of mathematics, a k-frame is an ordered set of k linearly independent vectors in a vector space; thus k ≤ n, where n is the dimension of the space, and if k = n an n-frame is precisely an ordered basis. If the vectors are orthogonal, or orthonormal, the frame is called an orthogonal frame, or orthonormal frame, respectively. (en) |
rdfs:label |
K-frame (en) |
owl:sameAs |
freebase:K-frame wikidata:K-frame https://global.dbpedia.org/id/4ovZ5 |
prov:wasDerivedFrom |
wikipedia-en:K-frame?oldid=1024613067&ns=0 |
foaf:isPrimaryTopicOf |
wikipedia-en:K-frame |
is dbo:wikiPageDisambiguates of |
dbr:Frame |
is dbo:wikiPageWikiLink of |
dbr:Principal_homogeneous_space dbr:Orthonormal_basis dbr:Parallelepiped dbr:Frame_(linear_algebra) dbr:Orthonormal_frame dbr:Von_Mises–Fisher_distribution dbr:Orthogonal_group dbr:Orthogonal_matrix dbr:Frame dbr:Stiefel_manifold |
is foaf:primaryTopic of |
wikipedia-en:K-frame |