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This paper describes the synthesis and analysis of a developed numerical method to compute Modular Inverse Matrices (MIM) variable size with no theoretical limit in đđ; extending to Modular Linear Equations Systems (MLES). On the other hand, solving the âGauss-Jacquesâ algorithm algebraic representation, a Quaternionic Linear Equation (QLE) is obtained to be applied in fields such as Modular Linear Algebra (MLA) and Modular Multi Linear Algebra (MMLA). The geometric interpretation of this, implies that vectors of these spaces inhabit in the Modular Ring (MR). Based on research, it was concluded that this method is a Math Function as well, due to its instrumental nature. Furthermore, it can be coded in any Computer Language. The Equation as a Logic Entity has been validated using logic ways, defining an activity known as âReverse Migration Fieldâ (RMF) Transfer. This work constitutes a solid foundation to Modular Linear Algebra. Technological & Scientific uses and applications of this work are numerous.
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Title The Epistemology of an Abstract-World Instrumental Development Conception & Completion
This paper describes the synthesis and analysis of a developed numerical method to compute Modular Inverse Matrices (MIM) variable size with no theoretical limit in đđ; extending to Modular Linear Equations Systems (MLES). On the other hand, solving the âGauss-Jacquesâ algorithm algebraic representation, a Quaternionic Linear Equation (QLE) is obtained to be applied in fields such as Modular Linear Algebra (MLA) and Modular Multi Linear Algebra (MMLA). The geometric interpretation of this, implies that vectors of these spaces inhabit in the Modular Ring (MR). Based on research, it was concluded that this method is a Math Function as well, due to its instrumental nature. Furthermore, it can be coded in any Computer Language. The Equation as a Logic Entity has been validated using logic ways, defining an activity known as âReverse Migration Fieldâ (RMF) Transfer. This work constitutes a solid foundation to Modular Linear Algebra. Technological & Scientific uses and applications of this work are numerous.
Work type Article
Tags the jacques equation, modular inverse matrices, reverse migration field, gauss-jacques, theorem, numerical analysis, instrument
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Identifier 2603315126045
Entry date Mar 31, 2026, 6:05 AM UTC
License Creative Commons Attribution-NonCommercial-ShareAlike 4.0
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Author. Holder Fausto Abraham Jacques GarcĂa. Date Mar 31, 2026.
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