Matrice de ordinul 2 cu elemente intregi

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Cezar Lupu
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Matrice de ordinul 2 cu elemente intregi

Post by Cezar Lupu »

Exista matrice \( A\in M_{2}(\mathbb{Z}), A\neq I_{2} \) astfel incat \( A^3+A^2+A=3I_{2} \)?
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
Marius Mainea
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Post by Marius Mainea »

Orice matrice \( A\in\mathcal{M}_2(\mathbb{Z}) \) cu \( \tr(A)=-2 \) si \( \det A=3 \) verifica relatia.
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