Sa se arate ca pentru orice matrice \( A, B\in M_{2}(\mathbb{R}) \) si pentru orice numere complexe \( a, b, c \), avem
\( \det(aAB+bBA+cI_{2})=\det(aBA+bAB+cI_{2}) \).
Egalitate determinanti pentru matrice de ordin 2
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Egalitate determinanti pentru matrice de ordin 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.
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