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Beniamin Bogosel
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Post by Beniamin Bogosel »

Fie \( P: V \to V \) o aplicatie liniara astfel incat \( V=\ker P \oplus \ker(I-P) \). Demonstrati ca \( P^2=P. \)
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Beniamin Bogosel
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Post by Beniamin Bogosel »

Daca \( V=\ker T \oplus \ker S \) si \( ST=TS \), atunci \( ST=O \).

\( ST(v)=ST(s+t)=ST(s)=TS(s)=0 \) pentru orice \( v \in V \). :)

Se aplica la problema noastra pentru \( P \) si \( I-P \).
Yesterday is history,
Tomorow is a mistery,
But today is a gift.
That's why it's called present. :)

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