My HP Prime is returning eigenvectors that are scaled by the last entry in each vector:
0.335410196625 / 0.4472135955 = 0.75
0.894427191 / 0.4472135955 = 2
0.4472135955 / 0.4472135955 = 1
The eigenvectors I'm expecting, respective to the order above, are below (found using the Characteristic Equation by hand):
 [3/4] [ 4/3 ]
 [ 2 ] [-1/3]
 [ 1 ] [ 1 ]
Having to re-scale these outputs is tedious, and it's not clear why the Prime displaying them scaled like this is more useful. I've looked at the settings for CAS and haven't found one that changes this.
Is there a way to get the Prime to display these values in the form I'm expecting?