Keywords

#dual_basis

Dual basis

Linear algebra concept

In linear algebra, given a vector space with a basis of vectors indexed by an index set , the dual set of is a set of vectors in the dual space with the same index set such that and form a biorthogonal system. The dual set is always linearly independent but does not necessarily span . If it does span , then is called the dual basis or reciprocal basis for the basis .

Fri 12th

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Dual basis Dual space Dual basis in a field extension Basis function Basis Linear form Orthonormal basis Covariance and contravariance of vectors Covariant transformation Geometric algebra
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