title: Difference between norm, normalize and normalized in eigen
body: <p>Suppose I have a <code>MatrixXcf</code> called <code>A</code>. I want to replace elements of every column by normalized one relative to the corresponding column. I've written following code but it's not true!</p>
  
  <pre><code>for (int i = 0; i &lt; A.cols(); i++)
      A.col(i).real.array() = A.col(i).real().array()/A.col(i).real().norm();
  </code></pre>
  
  <p>and another question, what's difference between <code>norm()</code>, <code>normalize()</code> and <code>normalized()</code> in <code>Eigen</code>? </p>