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- Alternant_matrix abstract "In linear algebra, an alternant matrix is a matrix with a particular structure, in which successive columns have a particular function applied to their entries. An alternant determinant is the determinant of an alternant matrix. Such a matrix of size m × n may be written out asor more succinctlyfor all indices i and j. (Some authors use the transpose of the above matrix.)Examples of alternant matrices include Vandermonde matrices, for which , and Moore matrices, for which .If and the functions are all polynomials, there are some additional results: if for any , then the determinant of any alternant matrix is zero (as a row is then repeated), thus divides the determinant for all . As such, if one takes(a Vandermonde matrix), then divides such polynomial alternant determinants. The ratio is called a bialternant. The case where each function forms the classical definition of the Schur polynomials.Alternant matrices are used in coding theory in the construction of alternant codes.".
- Alternant_matrix wikiPageID "4418897".
- Alternant_matrix wikiPageRevisionID "603736211".
- Alternant_matrix hasPhotoCollection Alternant_matrix.
- Alternant_matrix subject Category:Determinants.
- Alternant_matrix subject Category:Matrices.
- Alternant_matrix type Abstraction100002137.
- Alternant_matrix type Arrangement107938773.
- Alternant_matrix type Array107939382.
- Alternant_matrix type Cognition100023271.
- Alternant_matrix type CognitiveFactor105686481.
- Alternant_matrix type Determinant105692419.
- Alternant_matrix type Determinants.
- Alternant_matrix type Group100031264.
- Alternant_matrix type Matrices.
- Alternant_matrix type Matrix108267640.
- Alternant_matrix type PsychologicalFeature100023100.
- Alternant_matrix comment "In linear algebra, an alternant matrix is a matrix with a particular structure, in which successive columns have a particular function applied to their entries. An alternant determinant is the determinant of an alternant matrix. Such a matrix of size m × n may be written out asor more succinctlyfor all indices i and j.".
- Alternant_matrix label "Alternant matrix".
- Alternant_matrix label "Matriz alternante".
- Alternant_matrix label "Альтернативная матрица".
- Alternant_matrix label "مصفوفة التناوب".
- Alternant_matrix sameAs Matriz_alternante.
- Alternant_matrix sameAs m.04f6yzz.
- Alternant_matrix sameAs Q2620519.
- Alternant_matrix sameAs Q2620519.
- Alternant_matrix sameAs Alternant_matrix.
- Alternant_matrix wasDerivedFrom Alternant_matrix?oldid=603736211.
- Alternant_matrix isPrimaryTopicOf Alternant_matrix.