-1/2 -1/121 Application Activity 2: bor 1/4 14] 0 -5/24 23 1/6 [18] Encoding/decoding Messages Did you obtain the original message? O 1. Choose a
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# Linear algebra : this is the message: CAT IS MY FAVORITE ANIMAL see attachement . Number 7 is not needed.

-1/2
-1/121
Application Activity 2:
bor
1/4
14]
0
-5/24
23
1/6
[18]
Encoding/decoding Messages
Did you obtain the original message?
O
1. Choose a message that you want to encode. It should have between 20 and 30 letters.
6. Explain the process of encoding and decoding messages by using linear algebra.
Assign a number to every letter according to the order the letter has in the American
7. Do you know any other methods to encode and decode messages using mathematics?
alphabet. For example, A=1, B=2, C=3, etc. Use 27 to denote a space.
Describe one method in detail. You can use the internet to answer this question.
2. Choose an invertible 3x3 matrix. Show that the matrix is invertible.
Rubric
3. Divide your message into 3-letter groups. If the last group does not have enough letters,
use 27 for the remaining spaces. Encode each group of your message by left multiplying
the matrix by the group. You may use a TI-84 calculator to perform the computations.
mechanics of writing. It must also comply with APA requirements especially referencing
and citation.
For example, if the matrix is
without any explanation is worth 0 points. To err on the side of caution here, if unsure,
Question
Total Points Possible
and the message is ABC, A=1, B=2, C=3, you will obtain
2
5. 2 = 23
3
The recipient of the message will obtain the sequence of numbers 14, 23, 18.
Write the sequence of numbers that will correspond to your entire message.
4
4
4. Use the Gauss-Jordan method to find the inverse of your matrix.
S
4
For example, if the original matrix is
2
4 5
6
3
7
2
-1/2 -1/121
its inverse will be
1/4
-5/24
0
1/6
Proper mechanics of writing
2
and APA compliance
5. Decode the sequence of numbers by left multiplying each 3-number group by the
Total
25
inverse matrix.
For example,

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