Secret messages can be encoded by using a code and an encoding matrix. If we have the code:  and an encoding matrix: E = , we can encode a message by taking every two letters of the message, converting them to their corresponding numbers, creating a 

/> matrix, and then multiplying each two numbers by E. Use the code and encoding scheme above and an additional encoding matrix, F = , to answer the question.If the letters to be encoded are L = , show that (E + F)L = EL + FL.



What will be an ideal response?


(E F)L =    =   = 

EL + FL =   +    =  +  = 

Mathematics

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