Problema cu 4 matrici

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Laurentiu Tucaa
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Problema cu 4 matrici

Post by Laurentiu Tucaa »

Fie \( A,B,C,X \in M_n(\mathbb{R}) \) care comuta doua cate doua si \( AX^2+BX+C=0_n \). Sa se demonstreze ca \( \det(B^2-4AC)\ge 0 \).
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Beniamin Bogosel
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Post by Beniamin Bogosel »

\( (2AX+B)^2=B^2-4AC \). ;)
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