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#include <iostream>
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#include <Eigen/Dense>
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int main() {
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Eigen::Matrix2d A;
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A << 2, 1, 2, 0.9999999999;
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Eigen::FullPivLU<Eigen::Matrix2d> lu(A);
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std::cout << "By default, the rank of A is found to be " << lu.rank() << std::endl;
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lu.setThreshold(1e-5);
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std::cout << "With threshold 1e-5, the rank of A is found to be " << lu.rank() << std::endl;
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}
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