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bilinear form (Definition)
BilinearForm

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"bilinear form" is owned by rmilson. [ full author list (5) | owner history (2) ]
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See Also: duality with respect to a non-degenerate bilinear form, bilinear map, multi-linear, skew-symmetric bilinear form, symmetric bilinear form, non-degenerate bilinear form

Other names:  bilinear
Also defines:  rank of bilinear form, left map, right map

Attachments:
matrix representation of a bilinear form (Definition) by vitriol
canonical basis for symmetric bilinear forms (Definition) by Mathprof
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Cross-references: inner product, Euclidean, identity matrix, invertible, congruent, normal operator, transpose, matrix, basis, orthogonal, operation, adjoint, right adjoint, endomorphism, inner product space, restriction, composition, orthogonal complements, right, subspace, necessary, non-degenerate, rank-nullity theorem, integer, finite dimensional, dual homomorphisms, finite-dimensional, anti-symmetric, tensor product, linear map, characteristic, implies, alternating, skew-symmetric, symmetric, parameter, map, function, bilinear map, field, vector spaces
There are 40 references to this entry.

This is version 50 of bilinear form, born on 2002-01-24, modified 2009-09-23.
Object id is 1612, canonical name is BilinearForm.
Accessed 27545 times total.

Classification:
AMS MSC15A63 (Linear and multilinear algebra; matrix theory :: Quadratic and bilinear forms, inner products)
 11E39 (Number theory :: Forms and linear algebraic groups :: Bilinear and Hermitian forms)
 47A07 (Operator theory :: General theory of linear operators :: Forms )

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