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  1. Matrix3d m;
  2. m << 1,1,0,
  3. 1,3,2,
  4. 0,1,1;
  5. cout << "Here is the matrix m:" << endl << m << endl;
  6. cout << "Notice that the middle column is the sum of the two others, so the "
  7. << "columns are linearly dependent." << endl;
  8. cout << "Here is a matrix whose columns have the same span but are linearly independent:"
  9. << endl << m.fullPivLu().image(m) << endl;