SLOT Week 9 – Day 1

Using Matrices to Encode Secret Message: MATH 13 1 20 8 13 20 1 8

Encoding Matrix −3 1 2 −1 Multiply message by encoding matrix −3 1 2 −1 x 13 20 1 8 = −38 −52 25 32

How do we decode a message? If we know the encoding matrix and the encoded matrix, how can we find the message? −3 1 2 −1 x M = −38 −52 25 32 We need to find the inverse of the encoding matrix

Decoding the Message Find the inverse of −3 1 2 −1 Determinant = (-3)(-1) – (2)(1) = 3-2 = 1 Adjoint Matrix = −1 −1 −2 −3

Using the inverse to discover the message Inverse Matrix = −1 −1 −2 −3 Multiply the inverse of the encoding matrix by the encoded message −1 −1 −2 −3 x −38 −52 25 32 = 13 20 1 8

TOP SECRET Encoded Message: 7 95 49 16 168 112 −23 273 Encoding Matrix: 4 −1 3 10 What is the top secret message that Mrs. Maynor and I wanted to share with you?

BAZINGA https://www.youtube.com/watch?v=u85u2ymD l8M