[R] Beginning Eigen System question.

[rkevinburton at charter.net]

Forgive me if I missunderstand a basic Eigensystem but when I present the following matrix to most any other LinearAlgebra system:

 1  3  1
 1  2  2
 1  1  3

I get an answer like:

//$values
//[1]  5.000000e+00  1.000000e+00 -5.536207e-16

//$vectors
//           [,1]       [,2]       [,3]
//[1,] 0.5773503 -0.8451543 -0.9428090
//[2,] 0.5773503 -0.1690309  0.2357023
//[3,] 0.5773503  0.5070926  0.2357023

But R gives me:

//$values
//[1]  5.000000e+00  1.000000e+00 -5.536207e-16

//$vectors
//           [,1]       [,2]       [,3]
//[1,] -0.5773503 -0.8451543 -0.9428090
//[2,] -0.5773503 -0.1690309  0.2357023
//[3,] -0.5773503  0.5070926  0.2357023

The only difference seems to be the sign on the first eigen vector. What am I missing?

Kevin