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third_party/eigen/doc/snippets/FullPivLU_image.cpp

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+Matrix3d m;
+m << 1, 1, 0, 1, 3, 2, 0, 1, 1;
+cout << "Here is the matrix m:" << endl << m << endl;
+cout << "Notice that the middle column is the sum of the two others, so the "
+     << "columns are linearly dependent." << endl;
+cout << "Here is a matrix whose columns have the same span but are linearly independent:" << endl
+     << m.fullPivLu().image(m) << endl;