Eigenvectors, does order matter?

[charlies1902]

I got 2 questions about eigenvectors.

Let's say you have an eigenvector [1 0 2]^t.


1. Does the order matter? Like can I change the order to [0 1 2]^t or [1 2 0]^t?


2. It can be any scalar multiple of the vector right? Like I could have [2 0 4] or [4 0 8]

 

[Dick]

I got 2 questions about eigenvectors.

Let's say you have an eigenvector [1 0 2]^t.


1. Does the order matter? Like can I change the order to [0 1 2]^t or [1 2 0]^t?


2. It can be any scalar multiple of the vector right? Like I could have [2 0 4] or [4 0 8]

Scalar multiples are still eigenvectors, sure. Show me why. Does order of the components in the vector matter? What would make you think it doesn't??

 

[HallsofIvy]

The vector <1, 0, 0> is NOT the same as the vector <0, 1, 0> which appears to be what you are asking!