1. Applications of Inverse Matrices
Cryptography
A cryptogram is a message written according to secret code. (The Greek work kryptos means “hidden.”) Matrix multiplication can be used to encode and decode messages. To begin, you need to assign a number to each letter in the alphabet (w/ 0 assigned to a blank space), as follows: 1 2 3 4 5 6 7 8 9 10 11 12 13 sp A B C D E F G H I J K L M 14 15 16 17 18 19 20 21 22 23 24 25 26 N O P Q R S T U V W X Y Z

2. Applications of Inverse Matrices1 2 3 4 5 6 7 8 9 10 11 12 13 sp A B C D E F G H I J K L M 14 15 16 17 18 19 20 21 22 23 24 25 26 N O P Q R S T U V W X Y Z
Using the encoding matrix below encode a message.
Write down the message.
Convert the message to #’s.
Group the numbers into 1 X 3 matrices.
Multiply each group by the encoding matrix.
Write down the new set of #’s.
Convert the new #’s to letters.

3. Applications of Inverse Matrices1 2 3 4 5 6 7 8 9 10 11 12 13 sp A B C D E F G H I J K L M 14 15 16 17 18 19 20 21 22 23 24 25 26 N O P Q R S T U V W X Y Z
MATH ROCKS
Multiples of 27: 27, 54, 81, 108, 135, 162, 189

4. Applications of Inverse Matrices1 2 3 4 5 6 7 8 9 10 11 12 13 sp A B C D E F G H I J K L M 14 15 16 17 18 19 20 21 22 23 24 25 26 N O P Q R S T U V W X Y Z
Decode the following message. The encoding matrix is given below.
To decode:
Follow same steps as encoding
Except multiply by the inverse matrix
What do you have if you have 6 oranges in one hand and 8 oranges in the other?
KTLRFBDIX

5. Applications of Inverse Matrices1 2 3 4 5 6 7 8 9 10 11 12 13 sp A B C D E F G H I J K L M 14 15 16 17 18 19 20 21 22 23 24 25 26 N O P Q R S T U V W X Y Z
What do you have if you have 6 oranges in one hand and 8 oranges in the other?
KTLRFBDIX
Multiples of 27: 27, 54, 81, 108, 135, 162, 189