Eigenvector result is unusual

[Rich]

Hi,

When i type in

EIGENVV([1,2],[4,3])

I get this result:

{[[0.4472135955,−0.7453559925],[0.894427191,0.7453559925]],[[5.,0],[0,-1.]]}

I am not sure if my math is wrong somewhere, but on paper i get the different eigenvalues, for 5, i get [1 2] and for -1, I get [1 -1] which is what wolfram alpha gets. My 50G gets a value of [.5 1] and [1 -1] for for 5 and -1 respectively. Which is also correct.

EDIT::: Actually looking a little past the abstract, the results are correct, but I am not sure why the HP Prime didn't come up with a number closer to a whole number or more readable output similar to the 50G.