Table 1. Coding system. A B C D E F H K M N 0 2 3 5 O 7 8 10 11 12 13 14 P R S V W X Y Z 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Step 1: Choose an Encoding Matrix Your choice! It can have as many rows and columns as you want. I will only provide a few parameters: 1) Your Encoding Matrix MUST have an Inverse. 2) Therefore, the Encoding Matrix SHOULD be a Square Matrix! 3) Remember: The larger the dimensions, the more complicated it will be to decode your message! I recommend a 2x2 or 3x3 Matrix if you want to keep it simple. Step 2: Create Your Message Decide on your secret message, and then write your message using the numbers in our Coding System above. You can create any message you want, but please make sure your message is respectful and appropriate for any audience.Step 3: Encode Your Message 1) Write the numbers of your message as a long Matrix. HINT: down first, then over; down first, then over. Here is an example: I LOVE ENCODING WITH MATRICES ! 9 0 12 15 22 5 0 5 14 3 15 4 9 14 7 0 23 9 20 8 0 13 1 20 18 9 3 5 19 27 9 12 22 0 14 15 9 7 23 20 0 1 18 3 19 0 15 5 5 3 4 1 4 0 9 8 13 20 9 5 27 Your number of Rows should match the number of Rows in your encoding matrix. Your number of columns will be determined by how long your message is. For example, if your Encoding Matrix was a 2x2 Matrix, then your Message Matrix should be a 2 by __?__ Matrix, depending on the length of your message (mine above has 15 columns). If the encoder was a 3x3 Matrix, then you need a 3 by _?_ _ Matrix. 2) Multiply your Encoding and Message Matrices! THINK: Why is the order of multiplication important here? ? 3) Your multiplication will result in the Encoded Matrix. Write your Encoded Matrix (your encoded message) as a long string of numbers (again, down first, then over). Your message is now safe to send!Step 4: Find Your Decoding Matrix The person decoding your message needs your Decoding Matrix to do so. Remember: The Decoding Matrix is the INVERSE of the Encoding Matrix!178 95 135 185 Encoded message: 81 46 66 82 52 54 54 42 -2 0 Decoding Matrix: - 1.5 4 -0.75 -0.5 1 0.25MULTIPLY ENCODED MESSAGE WITH DECODING MESSAGE 178 95 0 135 - 2 185 - 0-75 8 1-1.5 46 4 66 82 - 0-5 0-25 52 54 54 42 3 3 21 12 1 21 19 = 16 18 5 3 1 12 3 21 12 21 19 0 of botheng jee eril no be er to son m evoda bise ert not how ardi besoong 0 ge bevorags P C C U = PRECALCULUS Ya GETAUJAVA R A U S E L L Techigni Mnoblees ewlainaamquil loyno9 vileup) EVONEO . NOMECOA nolalvill loung wilsuO bsel Ya bavorget