Quadratic forms and their relatives
16.1 Bilinear forms
In Section 8.3 we discussed functions of the form
These are special cases of the idea of a bilinear function.
Definition 16.1.1 If U , V and W are vector spaces over , then α : U × V → W is a bilinear function If the map
is linear for each fixed v ∈ V and the map
is linear for each fixed ...