Index of a bilinear form: Difference between revisions

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==Definition==
==Definition==


The '''index''' of a quadratic form on a vector space is defined as the maximum possible dimension of a negative definite subspace.
The '''index''' of a bilinear form on a vector space is defined as the maximum possible dimension of a negative definite subspace.


==Related terms==
==Related terms==


* [[Extended index of a quadratic form]]
* [[Extended index of a bilinear form]]
* [[Nullity of a quadratic form]]
* [[Nullity of a bilinear form]]

Revision as of 17:28, 23 June 2007

Definition

The index of a bilinear form on a vector space is defined as the maximum possible dimension of a negative definite subspace.

Related terms