Chapter 4.5, Problem 87E

Problems $85\text{-}88$ require the use of a graphing calculator or a computer. Use the $5\times 5$ encoding matrix $C$ given below. Form a matrix with $5$ rows and as many columns as necessary to accommodate the message.

$C=\left[\begin{array}{ccccc}1& 0& 1& 0& 1\\ 0& 1& 1& 0& 3\\ 2& 1& 1& 1& 1\\ 0& 0& 1& 0& 2\\ 1& 1& 1& 2& 1\end{array}\right]$

Cryptography. The following message was encoded with matrix $C$. Decode this messag:

$\begin{array}{l}\text{37 72 58 45 56 30 67 50 46 60 27 77}\\ \text{41 45 39 28 24 52 14 37 32 58 70 36}\\ \text{76 22 38 70 12 67}\end{array}$