LECTURE12.SEMIDEFINITEDUALITY2Denition12.1.GivensymmetricmatricesA;Bw - PDF document

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LECTURE12.SEMIDEFINITEDUALITY2Denition12.1.GivensymmetricmatricesA;Bw - PPT Presentation

Lemma124ForasymmetricnnmatrixAAispsdifandonlyifAB0forallpsdBProofOnedirectioniseasyifAisnotpsdthenthereexistsx2RnforwhichAxxxAx0ButxxxTJxF15 x119x552 xTf 3x117 ID: 341308

Lemma12.4.ForasymmetricnnmatrixA AispsdifandonlyifAB0forallpsdB.Proof.Onedirectioniseasy:ifAisnotpsd thenthereexistsx2RnforwhichA(xx)=xAx0.Butxx&#x]TJ/;༕ ;.9;Ւ ;&#xTf 3;.17;&#

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