New Reply
Page 2 of 2 1 2

eigenvectors of a 2 x 2 matrix

 
Share Thread Thread Tools
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.
New Reply
Page 2 of 2 1 2
Thread Tools


Similar Threads for: eigenvectors of a 2 x 2 matrix
Thread Forum Replies
Finding the eigenvectors of a 3x3 matrix - help please Calculus & Beyond Homework 11
The Eigenvalues and eigenvectors of a 2x2 matrix Calculus & Beyond Homework 1
3 x 3 matrix eigenvectors Calculus & Beyond Homework 11
Eigenvectors of a 3x3 Matrix Precalculus Mathematics Homework 11