Hello,

I am using Wolfram Alpha widgets for calculating Eigen values of a 3X3 real symmetric matrix. It is known the a real symmetric matrix has real Eigen values. However, the calculator is giving roots with iota (complex looking roots). So I have two questions,

1) Are the Eigen values computed by the widget actually complex?

2) If eigen values are not complex, then why aren't they simplified and given? How do I simplify them?

The matrix which I used is :

A = [  [ 1    2    3],
  [2   1   2],
  [3   2   3] ]

Here is the link also, http://www.wolframalpha.com/widgets/view.jsp?id=9aa01caf50c9307e9dabe159c9068c41

Thanks in advance. Hoping to hear from you soon.

Sandhya

P.S. : For the above matrix A, real Eigen values are 6.569, -1.342, -0.227.