$3\mathrm{.}31.$ Given the following image, use bilinear interpolation to compute the value at $($a$)(0\mathrm{.}1,0\mathrm{.}7),($b$)(1\mathrm{.}2,0\mathrm{.}5),($c$)(1\mathrm{.}3,1\mathrm{.}6),$ and $($d$)(2\mathrm{.}8,1\mathrm{.}7).$

$\left[\begin{array}{cccc}232& 177& 82& 7\\ 241& 18& 152& 140\\ 156& 221& 67& 3\end{array}\right]$