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Exercitiu teoretic
Posted: Sat Aug 08, 2009 12:02 pm
by opincariumihai
Daca \( A,B\in{M_n(C)} \) si \( \tr(A^k)=\tr(B^k) \) \( \forall k\in{N} \), atunci \( \det A=\det B \) ?
Posted: Sat Aug 08, 2009 12:18 pm
by Marius Mainea
Da. Folosim
Formulele lui Newton de
aici.
Posted: Sat Aug 08, 2009 2:10 pm
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?