- #1
amcavoy
- 665
- 0
If you have the following kernel (I think that's what it's called):
[tex]A-\lambda I=\begin{pmatrix}4 & 1 \\ 4 & 1\end{pmatrix}[/tex]
You could write the eigenvector as:
[tex]\operatorname{span}\begin{pmatrix}1 \\ -4\end{pmatrix}[/tex]
My question is: does it matter how you write the "span" part of it?
For instance, would [tex]\operatorname{span}\begin{pmatrix}-1 \\ 4\end{pmatrix}[/tex] be preferred (or different) than what I have above?
Thanks for your help.
[tex]A-\lambda I=\begin{pmatrix}4 & 1 \\ 4 & 1\end{pmatrix}[/tex]
You could write the eigenvector as:
[tex]\operatorname{span}\begin{pmatrix}1 \\ -4\end{pmatrix}[/tex]
My question is: does it matter how you write the "span" part of it?
For instance, would [tex]\operatorname{span}\begin{pmatrix}-1 \\ 4\end{pmatrix}[/tex] be preferred (or different) than what I have above?
Thanks for your help.