Master Encryption & Cryptography with Linear Algebra | Episode 20 🔐
Dive into the fascinating world of cryptography and learn how linear algebra powers secure encryption methods. Perfect for students and enthusiasts alike!

Ahmad Bazzi
45.1K views • Feb 12, 2021

About this video
☕️ Buy me a coffee: https://paypal.me/donationlink240
🙏🏻 Support me on Patreon: https://www.patreon.com/c/ahmadbazzi
📚About
Cryptography goes back to older times, as far back as the Ancient World. This lecture shows an application of Linear Algebra, which lies in the basis of cryptography and encryption.
⏲Outline⏲
00:00 Introduction
00:18 Integer Matrix Theorem
04:33 Encryption/Decryption Application
05:38 Bob, Alice and Sophie eavesdropping
13:05 Generating Different Keys
16:42 Sending Encrypted Messages
22:02 Outro
📹Previous Lectures📹
Lecture 1: Matrix Arithmetic https://youtu.be/qX_pH-3HiW8
Lecture 2: Linear Transformations https://youtu.be/uj-GlQc8ijw
Lecture 3: Powers of Matrices with Application to Graph Theory https://youtu.be/Xv1rkvcnaa4
Lecture 4: Non-Singular Matrices and Linear Systems https://youtu.be/uqRt55cOa84
Lecture 5: Matrix Transpose and Symmetric Matrices https://youtu.be/fl785R8ftFU
Lecture 6: Introduction to Linear Systems https://youtu.be/Jk2qWR2SX0c
Lecture 7: Solving Square Linear Systems https://youtu.be/oeFxaGitlUU
Lecture 8: Gaussian Elimination https://youtu.be/3dDbelcKD7o
Lecture 9: Systematic Solution of Linear Systems https://youtu.be/Hzwx2H7L-S4
Lecture 10: Matrix Inverse by Gaussian Elimination https://youtu.be/Z-4N4E2g4Jc
Lecture 11: Homogenous System https://youtu.be/zqzvg9MKR7w
Lecture 12: Truss Analysis: Application of Linear Systems https://youtu.be/zqzvg9MKR7w
Lecture 13: Electrical Circuits https://youtu.be/wqq21mWH_S4
Lecture 14: Subspaces & Linear Combination in Linear Algebra and Discrete Math https://youtu.be/Dfni61BRF1o
Lecture 15: Linear Independence https://youtu.be/-_bm7jItTuQ
Lecture 16: Rank https://youtu.be/2GRuk2m3-mg
Lecture 17: Determinant https://youtu.be/6fMGEUo8L8I
Lecture 18: Expansion by Minors https://youtu.be/u4PK7qsaCPA
Lecture 19: Determinant Using Row Operations https://youtu.be/RF-dsMivNc8
🔴 Subscribe for more videos on Linear Algebra and Discrete Math.
👍 Smash that like button, in case you find this tutorial useful.
👁🗨 Speak up and comment, I am all ears.
#Encryption #LinearAlgebra #Cryptography
🙏🏻 Support me on Patreon: https://www.patreon.com/c/ahmadbazzi
📚About
Cryptography goes back to older times, as far back as the Ancient World. This lecture shows an application of Linear Algebra, which lies in the basis of cryptography and encryption.
⏲Outline⏲
00:00 Introduction
00:18 Integer Matrix Theorem
04:33 Encryption/Decryption Application
05:38 Bob, Alice and Sophie eavesdropping
13:05 Generating Different Keys
16:42 Sending Encrypted Messages
22:02 Outro
📹Previous Lectures📹
Lecture 1: Matrix Arithmetic https://youtu.be/qX_pH-3HiW8
Lecture 2: Linear Transformations https://youtu.be/uj-GlQc8ijw
Lecture 3: Powers of Matrices with Application to Graph Theory https://youtu.be/Xv1rkvcnaa4
Lecture 4: Non-Singular Matrices and Linear Systems https://youtu.be/uqRt55cOa84
Lecture 5: Matrix Transpose and Symmetric Matrices https://youtu.be/fl785R8ftFU
Lecture 6: Introduction to Linear Systems https://youtu.be/Jk2qWR2SX0c
Lecture 7: Solving Square Linear Systems https://youtu.be/oeFxaGitlUU
Lecture 8: Gaussian Elimination https://youtu.be/3dDbelcKD7o
Lecture 9: Systematic Solution of Linear Systems https://youtu.be/Hzwx2H7L-S4
Lecture 10: Matrix Inverse by Gaussian Elimination https://youtu.be/Z-4N4E2g4Jc
Lecture 11: Homogenous System https://youtu.be/zqzvg9MKR7w
Lecture 12: Truss Analysis: Application of Linear Systems https://youtu.be/zqzvg9MKR7w
Lecture 13: Electrical Circuits https://youtu.be/wqq21mWH_S4
Lecture 14: Subspaces & Linear Combination in Linear Algebra and Discrete Math https://youtu.be/Dfni61BRF1o
Lecture 15: Linear Independence https://youtu.be/-_bm7jItTuQ
Lecture 16: Rank https://youtu.be/2GRuk2m3-mg
Lecture 17: Determinant https://youtu.be/6fMGEUo8L8I
Lecture 18: Expansion by Minors https://youtu.be/u4PK7qsaCPA
Lecture 19: Determinant Using Row Operations https://youtu.be/RF-dsMivNc8
🔴 Subscribe for more videos on Linear Algebra and Discrete Math.
👍 Smash that like button, in case you find this tutorial useful.
👁🗨 Speak up and comment, I am all ears.
#Encryption #LinearAlgebra #Cryptography
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Video Information
Views
45.1K
Likes
1.4K
Duration
24:26
Published
Feb 12, 2021
User Reviews
4.7
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