Eigenvectors corresponding to eigenvalues

Question

In R, the eigen() returns descending sorted eigenvalues. However, the eigenvectors do not correspond to these sorted eigenvalues. How do I identify the eigenvector corresponding to the ith sorted eigenvalue?

One approach might be to sort by the norm of the eigenvectors (is there a procedure in R that can do this). I imagine there is a simple method I am missing.

Answer 1

Look at the end of the eigen function:

...    
ord <- sort.list(Mod(z$values), decreasing = TRUE)
}
list(values = z$values[ord], vectors = if (!only.values) z$vectors[, 
      ord, drop = FALSE])}

That means both values and vectors are sorted by ord. So why eigenvectors ordering is not corresponding to the eigenvalues ordering?