Consider the matrices A = [2, -2; 4, -2] and B = [3, 9; 1, 3]. If matrices P and Q are such that PA = B and A Q=B, then the absolute value of the sum…

Consider the matrices $\displaystyle \mathrm{A}=\left[\begin{array}{rr}2 & -2 \\ 4 & -2\end{array}\right]$ and $\displaystyle \mathrm{B}=\left[\begin{array}{ll}3 & 9 \\ 1 & 3\end{array}\right]$. If matrices P and Q are such that $\displaystyle \mathrm{PA}=\mathrm{B}$ and $\displaystyle A Q=B$, then the absolute value of the sum of the diagonal elements of $\displaystyle 2(P+Q)$ is $\displaystyle \_\_\_\_$.