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eigenvectors of a 2 x 2 matrix

 
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Jan17-11, 08:15 AM   #18
 

eigenvectors of a 2 x 2 matrix


Quote by hnicholls View Post
Great. So using any scalar multiple of the basis eigenvector, we could have for this eigenvalue 5:

|4| or |8|
|2| or |4|, etc.

but not

|4|
|1|

right?
Yes, with the exception of scalar multiplication by 0, as that would result in the zero vector. Also, it's your choice which pair of eigenvectors to use as a basis.
Jan17-11, 03:07 PM   #19
 
In this particular example, yes.
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