Concursul 'Gh. Titeica', Problema 1

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Marius Dragoi
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Concursul 'Gh. Titeica', Problema 1

Post by Marius Dragoi »

Fie \( a,b \in R \) si \( n\in N* \). Sa se arate ca urmatoarele sunt echivalente:
i) \( |b| < a \);
ii) \( \tr(aXX^t + 2bXY + aYY^t) >0 \) pentru oricare doua matrice \( X,Y \in M_n(R) \).
Last edited by Marius Dragoi on Thu May 29, 2008 5:29 pm, edited 1 time in total.
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