Cryptography is the study of coded messages. Matrices can be used to code messages so that they can only be read Conversion Table after being deciphered by a key. =11 =12 =13 =14 =15 =16 =17 =18 =19 =20 The first step is to decide on a key that can be used to encode the matrix. The key must be an n x n invertible matrix. The next step is to convert the message to numbers and write it as a matrix. Each letter of the alphabet is represented by a number (Ais 1, Bis 2, ...). The number 0 is used to represent a blank space. Finally, the message is encoded by multiplying it by the key. mammoAw> HNBOVOZZR 1 2 3 4 =35 6 = 7 8 9 0 Activity 1 =] Use [_11 _32] to encode the message \"SATURDAY AT NOON\" Step 1: Convert the message to numbers and write it as a matrix. Remember to use the number 0 for a space between each word. The first 3 were done for you. S-19 A-1 T-20 The key is a 2x2 matrix. To make the matrix multiplication possible, write the message as an 8x2 matrix. S A 19 1 T U [20 } R D A Y A T N 0 0 N Step 2: Multiply the converted message by the key. 19 1 18 -35 20 - | | | ' " [_11 _32]=| | - ] S Step 3: Remove the matrix notation to reveal the encoded message. 18 -35 -1 Activity 2 Use [_32 _53] to encode each message. 1. CALL ME 2. SEE YOU LATER 3. ORDER PIZZA