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Large (n > 2) Hypercomplex Linear (n x n) Systems

Chris Niemann
Organization: Southwestern Illinois College
Department: Mathematics
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Briefly, this submission is an extension of my last three submissions. I have extended the number of unknowns and equations for quaternions, octonions and sedenions. These are 4, 8 and 16 dimensional numbers, first described by Sir William Rowan Hamilton, then extended by his student, Arthur Caley. Once again, I have used the Transformation matrices corresponding to multiplication from both the left and the right. (All of these systems are nonabelian.) After possibly a series of transformations, the Eight-Step is applied.

*Mathematics > Algebra > Linear Algebra

Hypercomplex, Quaternion, Octonion, Sedenion, Transformation matrices (TransMatL & TransMatR), Eight-Step Method
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Eight-Steps-Hypercomplex Large Systems.nb (607.9 KB) - Mathematica Notebook

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