Quadratic space
Definition
A quadratic space is a vector space on which is defined a symmetrical bilinear form not degenerated. This bilinear form is used to define the relation of orthogonality.
Properties
On a quadratic space, one can define the concepts of assistant Endomorphisme, symmetrical Endomorphisme and orthogonal automorphism. The Similitude S can also be defined on a quadratic space.
Comments
The quadratic vector spaces are generalizations of the spaces préhilbertiens.Category: Bilinear algebra
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