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MatrixXf m = MatrixXf::Random(3, 5);
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cout << "Here is the matrix m:" << endl << m << endl;
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MatrixXf ker = m.fullPivLu().kernel();
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cout << "Here is a matrix whose columns form a basis of the kernel of m:" << endl << ker << endl;
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cout << "By definition of the kernel, m*ker is zero:" << endl << m * ker << endl;
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