Question

Using encoding matrix `[[1,1],[0,1]]` ,encode & decode the message "MUMBAI" 

Answer 1

Encoding matrix : `A=[[1,1],[0,1]]` 

Message is : MUMBAI.
The given message in matrix form is :` B=[[13,13,1],[21,2,9]]`

Encoded message in matrix form is given by , 

 C= AB

=`[[1,1],[0,1]] [[13,13,1],[21,2,9]]`

∴ `C= [[34,15,10],[21,2,9]]`

Encoded message is : 34 21 15 2 10 9 

                                GUOBJI 

Decoded matrix is given by , 

`B=A_-1.C` 

=`[[1,-1],[0,1]] [[34,15,10],[21,2,9]]` 

∴ `B=[[13,13,1],[21,2,9]]` 

Decoded message : MUMBAI