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