title: Maxima: Eigenvectors output
body: <p>So I solve the eigenvectors for a matrix in Maxima.</p>
  
  <pre><code>a:matrix([10,10],[-4,-3]);
  \\outputs matrix
  vec:eigenvectors(a);
  [[[5,2],[1,1]],[[[1,-1/2]],[[1,-4/5]]]]
  </code></pre>
  
  <p>I've hand calculated the eigenvalues, and vectors as (1x2) 5: [-2,1]. 2:[-5,4], which are correct. What is Maxima outputting?</p>