- #1

WannabeNewton

Science Advisor

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- 532

[tex]\mid \omega = 1 > [/tex] [tex]\Rightarrow \begin{bmatrix}

1 & 0 & 1\\

0 & 1 & 0 \\

1 & 0 & 1

\end{bmatrix} \begin{bmatrix}

v_{1}\\

v_{2}\\

v_{3}

\end{bmatrix} = 0 [/tex]

and you put it into the form

[tex]v_{1} + v_{3} = 0 [/tex]

[tex]v_{2} = 0[/tex]

[tex]v_{1} + v_{3} = 0[/tex]

isn't there an ambiguity as to whether you choose to set [tex]v_{1} = -v_{3}[/tex] as opposed to [tex]v_{3} = -v_{1}[/tex] for the eigenvector(normalized or not) corresponding to the eigenvalue? Does it not make a difference regarding sign for the respective components of the eigenvector? Sorry if this is a petty question I just wasn't sure.