Well you get so if you set then
So we have
Hi guys,
im given this matrix here:
|3 2|
|3 8|
and the eigenvalues were 2 and 9.
I found the eigenvectors where 'lamda' = 2
but when i use the eigenvalue for 9 my answer were (1, 1/3) but the book gave me the answer as being (1, 3).
Could someone explain to me why they have (1,3)?
Thanks. Your contribution is much appreciated.
Hi Redeemer_Pie,
Remember that if is an eigenvector corresponding to an eigenvalue of then where is some constant is also an eigenvector corresponding to an eigenvalue of .
We have
Note that for any eigenvalue and the corrsponding eigenvector , so for we have
hence
. If we let then so
where r is some constant.
Hope this helps.