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/// Represents a solver for systems of linear equations using the Gaussian Elimination method.
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/// This class applies Gaussian Elimination to transform the matrix into row echelon form and then performs back substitution to find the solution vector.
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/// This implementation is based on: https://www.algorithm-archive.org/contents/gaussian_elimination/gaussian_elimination.html
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/// This implementation is based on: <see href="https://www.algorithm-archive.org/contents/gaussian_elimination/gaussian_elimination.html"/>
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