In this video, we explain the deep connection between coding theory and linear algebra, motivated by use of the dot product with error detection of codes. The viewer is encouraged to review important linear algebra concepts on the channel: • Playlist
This is lecture 24 (part 1/4) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4220 - Abstract Algebra I at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at:
https://drive.google.com/file/d/1gBi5...
This lecture is based upon Section 8.2 of Abstract Algebra: Theory and Applications (http://abstract.ups.edu/) by Tom Judson. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.