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@@ -3,8 +3,10 @@
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#include "Gauss.h"
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Vect Solver::Image(Matrix&& a_Matrix) const {
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Gauss::GaussJordanColumn(a_Matrix, true, true);
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return {a_Matrix};
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a_Matrix.Transpose();
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Gauss::GaussJordan(a_Matrix, false, false);
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a_Matrix.Transpose();
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return {std::move(a_Matrix)};
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}
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// https://en.wikipedia.org/wiki/Kernel_(linear_algebra)#Computation_by_Gaussian_elimination
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@@ -12,8 +14,10 @@ Vect Solver::Kernel(Matrix&& a_Matrix) const {
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std::size_t matrixRawCount = a_Matrix.GetRawCount();
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std::size_t matrixColumnCount = a_Matrix.GetColumnCount();
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a_Matrix.AugmentBottom(Matrix::Identity(a_Matrix.GetColumnCount()));
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Gauss::GaussJordanColumn(a_Matrix, true, true);
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a_Matrix.Transpose();
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a_Matrix.Augment(Matrix::Identity(a_Matrix.GetRawCount()));
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Gauss::GaussJordan(a_Matrix, false, true);
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a_Matrix.Transpose();
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// nombre de colonnes non nulles
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std::size_t origine_colonne = Vect(a_Matrix.SubMatrix(0, 0, matrixRawCount, matrixColumnCount)).GetCardinal();
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