Dual basis
In linear algebra, given a vector space V with a basis B of vectors indexed by an index set I (the cardinality of I is the dimensionality of V), the dual set of B is a set B∗ of vectors in the dual space V∗ with the same index set I such that B and B∗ form a biorthogonal system. The dual set is always linearly independent but does not necessarily span V∗. If it does span V∗, then B∗ is called the dual basis or reciprocal basis for the basis B. where is the Kronecker delta symbol.
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Dual basis
In linear algebra, given a vector space V with a basis B of vectors indexed by an index set I (the cardinality of I is the dimensionality of V), the dual set of B is a set B∗ of vectors in the dual space V∗ with the same index set I such that B and B∗ form a biorthogonal system. The dual set is always linearly independent but does not necessarily span V∗. If it does span V∗, then B∗ is called the dual basis or reciprocal basis for the basis B. where is the Kronecker delta symbol.
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En algèbre linéaire, la base d ...... t en géométrie différentielle.
@fr
En dualbas är ett begrepp inom ...... det ursprungliga vektorrummet.
@sv
En álgebra lineal, una base du ...... ejor con el siguiente ejemplo.
@es
In linear algebra, given a vec ...... is the Kronecker delta symbol.
@en
In matematica, e più precisame ...... lo spazio duale e dei tensori.
@it
В лінійній алгебрі, дуальний б ...... стору * отримуються аналогічно
@uk
数学の線型代数学において、体 F 上のベクトル空間 V とそ ...... 底（そうついきてい、英: dual basis）と呼ばれる。
@ja
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En algèbre linéaire, la base d ...... t en géométrie différentielle.
@fr
En dualbas är ett begrepp inom ...... det ursprungliga vektorrummet.
@sv
En álgebra lineal, una base du ...... ejor con el siguiente ejemplo.
@es
In linear algebra, given a vec ...... is the Kronecker delta symbol.
@en
In matematica, e più precisame ...... lo spazio duale e dei tensori.
@it
В лінійній алгебрі, дуальний б ...... помогою добутку матриць зліва.
@uk
数学の線型代数学において、体 F 上のベクトル空間 V とそ ...... 底（そうついきてい、英: dual basis）と呼ばれる。
@ja
label
Base dual
@es
Base duale
@fr
Base duale
@it
Dual basis
@en
Dualbas
@sv
Duale Basis
@de
Двойственный базис
@ru
Дуальний базис
@uk
双対基底
@ja