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Degenerate bilinear form
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==Related notions== If for a [[quadratic form]] ''Q'' there is a non-zero vector ''v'' β ''V'' such that ''Q''(''v'') = 0, then ''Q'' is an [[isotropic quadratic form]]. If ''Q'' has the same sign for all non-zero vectors, it is a [[definite quadratic form]] or an '''anisotropic quadratic form'''. There is the closely related notion of a [[unimodular form]] and a [[perfect pairing]]; these agree over [[field (mathematics)|fields]] but not over general [[ring (mathematics)|rings]].
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