Definite quadratic form: Difference between revisions

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Add detail on semidefinite.
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Adding local short description: "Type of homogeneous polynomial of degree 2", overriding Wikidata description "quadratic form that is either greater then 0 except for 0 or less then 0 except for 0" (Shortdesc helper)
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{{Short description|Type of homogeneous polynomial of degree 2}}
In [[mathematics]], a '''definite quadratic form''' is a [[quadratic form]] over some [[Real number|real]] [[vector space]] {{math|''V''}} that has the same [[positive and negative numbers|sign]] (always positive or always negative) for every non-zero vector of {{math|''V''}}. According to that sign, the quadratic form is called '''positive-definite''' or '''negative-definite'''.