Fluorine does not undergo disproportionation because it is the most electronegative element and cannot exist in a positive oxidation state. However, Cl$_2$, Br$_2$, and I$_2$ can undergo disproportionation as they have intermediate oxidation states and can be oxidized as well as reduced in reactions.
Let A be a 3 × 3 matrix such that \(\text{det}(A) = 5\). If \(\text{det}(3 \, \text{adj}(2A)) = 2^{\alpha \cdot 3^{\beta} \cdot 5^{\gamma}}\), then \( (\alpha + \beta + \gamma) \) is equal to: