title: pandas series elementwise muplication
body: <p>I have two pandas series a and b as follows:</p>
  
  <pre><code>a = pd.series([1, 2, 3])
  
  b = pd.series([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
  </code></pre>
  
  <p>What I want to get is a third pandas series as follows:</p>
  
  <pre><code>[[1, 2, 3], [8, 10, 12], [21, 24, 27]]
  </code></pre>
  
  <p>I have tried the following operations:</p>
  
  <pre><code>a*b
  
  np.array(a)*np.array(b)
  
  np.multiple(a, b)
  
  a.multiple(b)
  </code></pre>
  
  <p>However, I keep getting the same error as follows:</p>
  
  <pre><code>TypeError: can't multiply sequence by non-int of type 'float'
  </code></pre>
  
  <p>I wonder what's the right way to do this? Thanks!</p>