Date of Submission
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.
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Smith, Nathan P., "Non-Commutative Linear Algebra" (2011). Senior Projects Spring 2011. 207.