The ClO2- ion has a bent shape according to the VSEPR theory. It has two bonding pairs and one lone pair of electrons on the central chlorine atom, resulting in a bent structure.
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: