Date of Submission
Spring 2011
Academic Program
Mathematics
Advisor
Mark Halsey
Abstract/Artist's Statement
This project is intended to supply an introductory explanation of how basic linear algebra operations work over a non-commutative division ring. Specifically it addresses these topics using the Quaternions as a basis for understanding linear algebra over skew fields. The project focuses on solving a system of linear equations over the Quaternions and determining when a matrix over the Quaternions is invertible.
Distribution Options
Access restricted to On-Campus only
Creative Commons License
This work is licensed under a Creative Commons Attribution-Share Alike 3.0 License.
Recommended Citation
Smith, Nathan P., "Non-Commutative Linear Algebra" (2011). Senior Projects Spring 2011. 207.
https://digitalcommons.bard.edu/senproj_s2011/207
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