491272f8128bbe8fc3ff664908d8e6de_9aa258e66d33f2e35f5e180bcf0a4915.docx

491272f8128bbe8fc3ff664908d8e6de_9aa258e66d33f2e35f5e180bcf0a4915.docx

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Excel Project – Matrix Applications Part 1 – Cryptography Matrices can be used to encode and decode messages. To begin with, we could assign the numbers 1-26 to the letters of the alphabet and assign the number 0 to a space between words. Then, we could translate any verbal message into a string of numbers from 0 to 26. Below is a table of each letter and its corresponding number. Blan k A B C D E F G H I J K L M 0 1 2 3 4 5 6 7 8 9 10 11 12 13 N O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 26 1. We will use the matrix A below as the encoding matrix for our message. A = [ 1 1 1 2 1 2 3 3 1 ] Enter the encoding matrix A in your spreadsheet and label it. 2. Suppose we want to encode the message “SECRET CODE”. Start by translating the message into numbers using the correspondence above. 3. Now put these numbers into a matrix B that will have 3 rows. Start with the first number in the upper left and move down the first column until you have 3 rows. When you fill the column, start over in the second column. Fill in the matrix B with the numbers corresponding to the message. If you need to, add any extra blanks to the end of the message to fill out the matrix. Create matrix B on your spreadsheet and make sure to label it. 4. To encode a message, simply take the matrix that contains our message, matrix B , and multiply on the left by the encoding matrix A . Using Excel, find matrix AB and label it. Now our message “SECRET CODE” has been encoded and is represented by the numbers in matrix AB .
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5. Suppose now that you are the one receiving this encoded message as represented by matrix AB , and you want to decode it to see what it says. To do this, you will need the decoding matrix A 1 . Find A 1 and label it.
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