Well you get so if you set then
So we have
im given this matrix here:
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.
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 .
Note that for any eigenvalue and the corrsponding eigenvector , so for we have
. If we let then so
where r is some constant.
Hope this helps.