title: MATLAB Solving equations problem
body: <p>I want to solve these equations using <a href="http://en.wikipedia.org/wiki/MATLAB" rel="nofollow noreferrer">MATLAB</a> and <b>I am sure</b> there is a non zero solution. The equations are:</p>
  
  <pre><code>0.7071*x            + 0.7071*z = x 
    -0.5*x + 0.7071*y +    0.5*z = y
    -0.5*x - 0.7071*y +    0.5*z = z
  </code></pre>
  
  <p>I wrote in MATLAB:</p>
  
  <pre><code>[x,y,z]=solve('0.7071 * x+0.7071 * z=x','-0.5 * x+0.7071 * y+0.5 * z=y','-0.5 * x-0.7071 * y+0.5 * z=z');
  </code></pre>
  
  <p>But the result is x = y = z = 0.
  As I said I am sure that there is a solution. Can any one help?</p>