title: Is NumPy broadcasting associative?
body: <p>Say I have three <code>numpy.ndarray</code>'s <code>a,b,c</code> such that when I multiply them a broadcasting happens.</p>
  
  <p>Does the result depend on the order of the multiplication?</p>
  
  <p>In other words, do there exist a,b,c such that:</p>
  
  <pre><code>(a * b) * c != a * (b * c)
  </code></pre>
  
  <p>?</p>