Let A be a symmetric matrix such that | A |=2 and [2, 1; 3, 3/2] A = [1, 2; α, β]. If the sum of the diagonal elements of A is s, then (β s)/(α^2) is…

Let A be a symmetric matrix such that $\displaystyle |\mathrm{A}|=2$ and $\displaystyle \left[\begin{array}{ll}2 & 1 \\ 3 & \frac{3}{2}\end{array}\right] \mathrm{A}=\left[\begin{array}{ll}1 & 2 \\ \alpha & \beta\end{array}\right]$. If the sum of the diagonal elements of A is $\displaystyle s$, then $\displaystyle \frac{\beta s}{\alpha^2}$ is equal to $\displaystyle \_\_\_\_$.