Exercitiu teoretic

Moderators: Bogdan Posa, Laurian Filip, Beniamin Bogosel, Radu Titiu, Marius Dragoi

Post Reply
opincariumihai
Thales
Posts: 134
Joined: Sat May 09, 2009 7:45 pm
Location: BRAD

Exercitiu teoretic

Post by opincariumihai »

Daca \( A,B\in{M_n(C)} \) si \( \tr(A^k)=\tr(B^k) \) \( \forall k\in{N} \), atunci \( \det A=\det B \) ?
Top
Marius Mainea
Gauss
Posts: 1077
Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Post by Marius Mainea »

Da. Folosim Formulele lui Newton de aici.
Top
opincariumihai
Thales
Posts: 134
Joined: Sat May 09, 2009 7:45 pm
Location: BRAD

Post by opincariumihai »

Marius Mainea wrote:Da. Folosim Formulele lui Newton de aici.
Pai atunci de ce nu vreti sa abordati problema de aici in cazul general folosind indicatia de mai sus?
Top
Post Reply

Return to “Algebra”