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Vectors, Pure and Applied by T. W. Körner

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16

Quadratic forms and their relatives

16.1 Bilinear forms

In Section 8.3 we discussed functions of the form

images

These are special cases of the idea of a bilinear function.

Definition 16.1.1 If U , V and W are vector spaces over images, then α : U × VW is a bilinear function If the map

images

is linear for each fixed vV and the map

images

is linear for each fixed ...

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