Chapter 2.1, Problem 35E

In the example about the French coast guard in this section, suppose you are a spy watching the boat and listening in on the radio messages from the boat. You collectthe following data:
• When the actual position is $\left[\begin{array}{l}5\\ 42\end{array}\right]$ , they radio $\left[\begin{array}{l}89\\ 52\end{array}\right]$ .

• When the actual position is $\left[\begin{array}{l}6\\ 41\end{array}\right]$ , they radio $\left[\begin{array}{l}88\\ 53\end{array}\right]$ .
Can you crack their code (i.e., find the coding matrix),assuming that the code is linear?