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Large (n > 2) Hypercomplex Linear (n x n) Systems
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| Organization: | Southwestern Illinois College |
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2010-01-03
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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.
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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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