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Solving Linear Quaternion Systems Modulo a Prime
Author

Chris Niemann
Organization: Southwestern Illinois College
Department: Mathematics
Revision date

2010-01-11
Description

Using any prime number desired, a general system of linear equations may be solved. The Eight-Step method is once again used to find all inverses. If a given system has no solution, a message to that effect is printed. Otherwise, the system has a solution and the standard equations can be utilized to find all solutions.
Subject

*Mathematics > Algebra > Linear Algebra
Keywords

Quaternions, Mod p, a prime, the 4 Eight-Step Methods, Power Extended Partition, General Linear Group - GL[n, F], Non-commutative systems, Transformation Matrices
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Eight-Steps-Mod-p.nb (136.4 KB) - Mathematica Notebook


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