Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Change_of_basis> ?p ?o }
- Change_of_basis abstract "In linear algebra, a basis for a vector space of dimension n is a sequence of n vectors (α1, …, αn) with the property that every vector in the space can be expressed uniquely as a linear combination of the basis vectors. The matrix representations of operators are also determined by the chosen basis. Since it is often desirable to work with more than one basis for a vector space, it is of fundamental importance in linear algebra to be able to easily transform coordinate-wise representations of vectors and operators taken with respect to one basis to their equivalent representations with respect to another basis. Such a transformation is called a change of basis.Although the terminology of vector spaces is used below and the symbol R can be taken to mean the field of real numbers, the results discussed hold whenever R is a commutative ring and vector space is everywhere replaced with free R-module.".
- Change_of_basis thumbnail 3d_basis_transformation.svg?width=300.
- Change_of_basis wikiPageExternalLink lecture-31-change-of-basis-image-compression.
- Change_of_basis wikiPageExternalLink watch?v=1j5WnqwMdCk.
- Change_of_basis wikiPageID "1179451".
- Change_of_basis wikiPageLength "18172".
- Change_of_basis wikiPageOutDegree "60".
- Change_of_basis wikiPageRevisionID "681092945".
- Change_of_basis wikiPageWikiLink 2_×_2_real_matrices.
- Change_of_basis wikiPageWikiLink Active_and_passive_transformation.
- Change_of_basis wikiPageWikiLink Arthur_Cayley.
- Change_of_basis wikiPageWikiLink Associative_algebra.
- Change_of_basis wikiPageWikiLink Automorphism.
- Change_of_basis wikiPageWikiLink Basis_(linear_algebra).
- Change_of_basis wikiPageWikiLink Bijection.
- Change_of_basis wikiPageWikiLink Bijective.
- Change_of_basis wikiPageWikiLink Bilinear_form.
- Change_of_basis wikiPageWikiLink Biquaternion.
- Change_of_basis wikiPageWikiLink Category:Linear_algebra.
- Change_of_basis wikiPageWikiLink Category:Matrix_theory.
- Change_of_basis wikiPageWikiLink Commutative_diagram.
- Change_of_basis wikiPageWikiLink Commutative_ring.
- Change_of_basis wikiPageWikiLink Coordinate_vector.
- Change_of_basis wikiPageWikiLink Covariance_and_contravariance_of_vectors.
- Change_of_basis wikiPageWikiLink Dimension_(linear_algebra).
- Change_of_basis wikiPageWikiLink Dimension_(vector_space).
- Change_of_basis wikiPageWikiLink Endomorphism.
- Change_of_basis wikiPageWikiLink Euler_angles.
- Change_of_basis wikiPageWikiLink Field_(mathematics).
- Change_of_basis wikiPageWikiLink Free_module.
- Change_of_basis wikiPageWikiLink Gram_matrix.
- Change_of_basis wikiPageWikiLink Gramian_matrix.
- Change_of_basis wikiPageWikiLink If_and_only_if.
- Change_of_basis wikiPageWikiLink Integral_transform.
- Change_of_basis wikiPageWikiLink Invertible_matrix.
- Change_of_basis wikiPageWikiLink Isomorphism.
- Change_of_basis wikiPageWikiLink James_Cockle.
- Change_of_basis wikiPageWikiLink Linear_algebra.
- Change_of_basis wikiPageWikiLink Linear_combination.
- Change_of_basis wikiPageWikiLink Linear_independence.
- Change_of_basis wikiPageWikiLink Linear_map.
- Change_of_basis wikiPageWikiLink Linear_transformation.
- Change_of_basis wikiPageWikiLink Linearly_independent.
- Change_of_basis wikiPageWikiLink Lorentz_boost.
- Change_of_basis wikiPageWikiLink Lorentz_transformation.
- Change_of_basis wikiPageWikiLink Matrix_(mathematics).
- Change_of_basis wikiPageWikiLink Matrix_congruence.
- Change_of_basis wikiPageWikiLink Matrix_multiplication.
- Change_of_basis wikiPageWikiLink Matrix_similarity.
- Change_of_basis wikiPageWikiLink Module_(mathematics).
- Change_of_basis wikiPageWikiLink Module_homomorphism.
- Change_of_basis wikiPageWikiLink Modulo_(jargon).
- Change_of_basis wikiPageWikiLink Real_number.
- Change_of_basis wikiPageWikiLink Scalar_(mathematics).
- Change_of_basis wikiPageWikiLink Similar_(linear_algebra).
- Change_of_basis wikiPageWikiLink Split-complex_number.
- Change_of_basis wikiPageWikiLink Split-quaternion.
- Change_of_basis wikiPageWikiLink Squeeze_mapping.
- Change_of_basis wikiPageWikiLink Standard_basis.
- Change_of_basis wikiPageWikiLink Symmetric_(matrix).
- Change_of_basis wikiPageWikiLink Symmetric_bilinear_form.
- Change_of_basis wikiPageWikiLink Symmetric_matrix.
- Change_of_basis wikiPageWikiLink Transformation_matrix.
- Change_of_basis wikiPageWikiLink Vector_space.
- Change_of_basis wikiPageWikiLinkText "Change of basis".
- Change_of_basis wikiPageWikiLinkText "change of bases".
- Change_of_basis wikiPageWikiLinkText "change of basis matrix".
- Change_of_basis wikiPageWikiLinkText "change of basis".
- Change_of_basis wikiPageWikiLinkText "changes of basis".
- Change_of_basis wikiPageWikiLinkText "translate".
- Change_of_basis align "right".
- Change_of_basis caption "A linear combination of one basis set of vectors obtains new vectors . If they are linearly independent, these form a new basis set. The linear combinations relating the first set to the other extend to a linear transformation, called the change of basis.".
- Change_of_basis caption "A vector can be represented in two different bases .".
- Change_of_basis hasPhotoCollection Change_of_basis.
- Change_of_basis image "259200.0".
- Change_of_basis width "122".
- Change_of_basis width "290".
- Change_of_basis wikiPageUsesTemplate Template:Distinguish.
- Change_of_basis wikiPageUsesTemplate Template:Multiple_image.
- Change_of_basis wikiPageUsesTemplate Template:Unreferenced.
- Change_of_basis subject Category:Linear_algebra.
- Change_of_basis subject Category:Matrix_theory.
- Change_of_basis hypernym Sequence.
- Change_of_basis type Thing.
- Change_of_basis comment "In linear algebra, a basis for a vector space of dimension n is a sequence of n vectors (α1, …, αn) with the property that every vector in the space can be expressed uniquely as a linear combination of the basis vectors. The matrix representations of operators are also determined by the chosen basis.".
- Change_of_basis label "Change of basis".
- Change_of_basis differentFrom Change_of_base.
- Change_of_basis sameAs تغيير_القاعدة_(جبر_خطي).
- Change_of_basis sameAs Canvi_de_base.
- Change_of_basis sameAs Basiswechsel_(Vektorraum).
- Change_of_basis sameAs Ŝanĝo_de_bazo.
- Change_of_basis sameAs Kannanvaihto.
- Change_of_basis sameAs Matrice_de_passage.
- Change_of_basis sameAs Matrice_di_cambiamento_di_base.
- Change_of_basis sameAs 基底変換.
- Change_of_basis sameAs Basistransformatie.
- Change_of_basis sameAs m.04dxx5.
- Change_of_basis sameAs Basbyte.
- Change_of_basis sameAs تبدیلی_از_بنیاد_سمتیہ.
- Change_of_basis sameAs Q810255.