Seemous 2009, Problema 3

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Alin Galatan
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Seemous 2009, Problema 3

Post by Alin Galatan »

Fie \( SL_2(Z)=\{A\in M_2(Z),\ \det A=1\} \)
a) Gasiti A, B, C din \( SL_2 \) astfel ca \( A^2+B^2=C^2. \)
b) Aratati ca nu se poate ca \( A^4+B^4=C^4 \), cu A, B, C din \( SL_2(Z) \).
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