Problema 2 ONM 2008

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Radu Titiu
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Problema 2 ONM 2008

Post by Radu Titiu »

Demonstrati ca o matrice inversabila \( A\in \mathcal{M}_n(\mathbb{C}) \) are proprietatea \( A^{-1}=\overline{A} \) daca si numai daca exista o matrice inversabila \( B \in \mathcal{M}_n(\mathbb{C}) \) a.i. \( A=B^{-1}\cdot \overline{B} \) (matricea \( \overline{A} \) este matricea A cu elementele complex conjugate )


Vasile Pop, ONM 2008; Moubinool Omarjee, IMC 2002 (detalii aici)
A mathematician is a machine for turning coffee into theorems.
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