#How to encode a message using matrices how to
#How to encode a message using matrices mod
#How to encode a message using matrices code

To create a 3X3 matrix to encode a message of at least 45 chacters. The CBL and EDP will take place in lesson 2 activity 4. Keeping Secrets_Your encoded message_KTucker_jWhere the CBL and EDP appear in the Unit Keeping Secrets_Using matrix algebra_KTucker_july 1 2013ġ.2.4. The new group will decode the message and present the process of decoding to the class along with the original message.Īctivity 3: Using matrices to encode and decodeġ.2.3. The groups will then encode the message and give the encoded message and the encoding matrix to another group. The challenge is for the students to create an encoding matrix and a message to encode in their groups. Students will be introduced to modulo as a way to convert encoded numbers back into the alphabet. Keeping Secrets_simpleciphers_KTucker_july 1 2013Īctivity 3 and 4: Using matrices to encode and decode messagesĪctivity 3 and 4 will allow the students to use matrix algebra to encode and decode messages that are more secure than the previous forms. Keeping Secrets_codemakers and breakers video_KTucker_july 1 2013ġ.1.2. Students will then investigate some early Ciphers that do not do a simple letter replacement.ġ.1.1. Students will have the opportunity to solve a crypto quip similar to ones found in the newspaper (single substitution). Unit ActivitiesĪctivity 1 and 2 will focus on introducing students to cryptography. HSA-REI.C.9 – Find the inverse of a matrix if it exists and use it to solve problems. HSN-VM.C.10 - The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse. HSN-VM.C.8 - Multiply matrices of appropriate dimension HSN-VM.C.6 - Use matrices to represent and manipulate data The groups will present the original message the encoding matrix and the decode message to the class. The new group will use matrix algebra to decode the message.

#How to encode a message using matrices mod

It must be an invertible matrix with a determinant of 1 (to make the math possible in high school if the determinant is not 1 the students would have to understand inverse mod 27).Īfter they find a square matrix that works they will send an encoded message and the encoding matrix to another group in the class. In order to make sure that their matrix works they will test small phrases or words. In the process students will have to develop an encoding matrix (3 X 3) at a minimum. The problem is for the students to encode and essentially decode a message using matrix algebra.

Hackers can steal your bank records and even your identity. S – (Societal Impact): In our society where we are sending personal information over the internet it is more important than ever to keep your information secure.

What are some advantages and limitations of using matrices to encode and decode messages?ĪCS (Real world applications career connections societal impact)Ī – (Real World Application): Keeping information secure for banks, military, and government agencies.Ĭ – (Career Connections): Information Technology, National Security Agency, Military Cryptographers, Private Sector Cryptographers.

What do we have to do to make it usable?.

What happens when we multiply or matrix by the encoded matrix?.

How can we use matrices to encode messages better?.

What are the advantages and disadvantages of the methods for encoding and decoding messages?.

What are some methods for encoding and decoding messages?.

#How to encode a message using matrices code

National Treasure: Ciphers, Code makers & Code breakers Teacher's Guiding Questions To use matrices to encode and decode a message and send it to another group in the class. We use them to solve systems of liner equations using inverse matrices or reduced row echelon form but that is it. Traditionally we do not use matrices in many applications.

How can we use mathematics (matrices) to encode and decode messages to make them more secure?.

What is the importance of keeping your information secure?.

How can we use math to create a secure message that will be difficult for someone to decipher.

#How to encode a message using matrices how to

This unit is about how to keep your secure information secure. The Big Idea (including global relevance) Outbreak: Analyzing An Epidemic Using Quadratic Functions.Using Percent to Reduce Your Carbon Footprint.Remodel, Replace, or Maintain?, The Locker Issue.It’s a Wrap: Maximizing Ice Cream Cones.