implementation of Gaussian Elimination pivoting as a numerical linear algebra algorithm (#10457)

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Adding my python implementation of Gaussian Elimination pivoting as a numerical linear algebra algorithm

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* Adding new implementation

Adding my python implementation of Gaussian Elimination pivoting as a numerical linear algebra algorithm

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Adding my python implementation of Gaussian Elimination pivoting as a numerical linear algebra algorithm 
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Adding my python implementation of Gaussian Elimination pivoting as a numerical linear algebra algorithm 
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I changed a to matrix and coeff_matrix for better clarity

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Co-authored-by: Christian Clauss <[email protected]>

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Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Christian Clauss <[email protected]>