$1.$ Propose the recommended controller pairing for the chemical processes based on steady state considerations using the Relative Gain Array $($RGA$)$ method.

$2.$ Discuss the problem that can arise from the control loop interactions in the given chemical processes and the strategies for reducing them. Cite appropriate references.$G_{11}(s)=\left[\begin{array}{cc}\frac{-3e^{-s}}{7s+1}& \frac{2\mathrm{.}4e^{-s}}{10s+1}\\ \frac{2\mathrm{.}4e^{-s}}{10s+1}& \frac{-3e^{-s}}{7s+1}\end{array}\right],G_{12}(s)=\left[\begin{array}{cc}\frac{-5e^{-s}}{9s+1}& \frac{3e^{-s}}{10s+1}\\ \frac{3e^{-s}}{10s+1}& \frac{-5e^{-s}}{9s+1}\end{array}\right]$