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I deleted the comment "I think" at the end of the second paragraph, refering to z*Mz being real. |
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Suppose ''K'' denotes the [[field (mathematics)|field]] '''R''' or '''C''', ''V'' is a [[vector space]] over ''K'', and ''B'' : ''V'' × ''V'' → ''K'' is a [[bilinear]] map which is Hermitian in the sense that ''B''(''x'',''y'') is always the complex conjugate of ''B''(''y'',''x''). Then ''B'' is called ''positive definite'' if ''B''(''x'',''x'') > 0 for every nonzero ''x'' in ''V''.
[[Category:Matrices]]
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