Invariant Behavior of the Sum of Determinants under Specific Numerical Transformations

This document extends a previously registered mathematical discovery regarding the invariant sum of determinants of 2×2 matrices under specific numerical transformations. The mathematical method and the generation mechanism are original and independently developed by the author. Only high-level computational and environmental applications are mentioned; the core mechanism remains confidential.The invariant properties provide a mathematically stable framework for further research and potential computational applications. This work is provided for private review purposes only. Any use, reproduction, distribution, presentation, or derivative work requires prior written permission from the author.