30. Secret messages can be encoded by using a code and an encoding matrix. If we have the code: abcdefghij 1 2 3 4 5 6 7 8 9 10 klmnopqrst 11 12 13 14 15 16 17 18 19 20 u v w x y z space 21 22 23 24 25 26 27 and an encoding matrix:
we can encode a message by taking every two letters of the message, converting them to their corresponding numbers, creating a 2 × 1 matrix, and then multiplying each two numbers by E. Use the code and encoding scheme above and an additional encoding matrix,
to answer the question.
If the letters to be encoded are L = i t , show that E(FL) = (EF)L.