Week 5 Discussion: Cracking the code For this forum you will be using matrix operations to create and decode a secret message. For your initial post, create a short message
consisting of a few words. See example 7 on page 319 of the course text. Keep your message private and DO NOT share the message in
your post.
Break your message into groups of three letters, using a dash (-) to represent a space. Create a column matrix for the groups, using the
correspondence:
a -> 1
b-> 2
Z-> 26
space-> 27
Keep the grouped message provide and Do not post. You will share it later.
Now create a 3x3 matrix (M) that has an inverse. Encode your message by multiplying by M, following example 7. This will give you a series
of 3x1 column matrices. Post this as a string of numbers, as in example 7. Also post the 3x3 matrix (M)...but NOT the inverse matrix.
Now it's time to decode the message. For your peer response posts, choose two of your classmates' codes. Find the inverse matrix (M-1)
of the 3x3 matrix (M) that your classmates shared. Use the inverse matrix (M+l) to decode the string of numbers, using example 8 on page
320 as a guide. What was the original message? Show all of your work.
Return to your original post. Now that someone has cracked the code, verify if they are correct and post your column matrix. Also repost
the original 3x3 matrix (M) and the inverse matrix (M+?).