Matrice

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Marius Dragoi
Thales
Posts: 126
Joined: Thu Jan 31, 2008 5:57 pm
Location: Bucharest

Matrice

Post by Marius Dragoi »

Fie \( A,B \in M_n(C) \), unde \( A= B^2 + I_n \) si \( B^4=O_n \). Atunci aratati ca:
a) \( A^k =I_n + kB^2 \), oricare ar fi \( k \in N* \);
b) matricea \( I_n + B^6 - B^8 \) este inversabila.
Politehnica University of Bucharest
The Faculty of Automatic Control and Computers
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