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SEEMOUS 2010- problema 3

 
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Radu Titiu
Thales


Joined: 28 Sep 2007
Posts: 181
Location: Mures \Bucuresti

PostPosted: Fri Mar 12, 2010 2:55 pm    Post subject: SEEMOUS 2010- problema 3 Reply with quote

a)Aratati ca pentru orice matrice A \in \mathcal{M}_2(\mathbb{R}) exista B,C \in \mathcal{M}_2(\mathbb{R}) a.i. A=B^2+C^2.

b) nu exista B,C \in \mathcal{M}_2(\mathbb{R}) a.i. BC=CB si \begin{pmatrix} 0 & 1 \\ 1 & 0\end{pmatrix}=B^2+C^2.
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Cosmin Pohoata
Euclid


Joined: 01 Feb 2008
Posts: 20
Location: Princeton, NJ

PostPosted: Fri Mar 12, 2010 4:01 pm    Post subject: Reply with quote

Problema asta nu s-a mai dat tot pe la Seemous/IMC anii trecuti?
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