find the eigenvectors for this matrix(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \left( \begin{array}{ccc}3&0&6\\0&-3&0\\5&0&2 \end{array} \right) [/tex]

easy to find the eigenvectors which are -3,-3 and 8

now how to find the eigenvectors

am i supposed to do

[tex] \left| \lambda I - A \right| X = 3 X [/tex]?

then

[tex] \left( \begin{array}{ccc} -6&0&6\\0&0&0\\5&0&-5 \end{array} \right) \left( \begin{array}{c} X_{1}\\X_{2}\\X_{3} \end{array} \right) = 0 [/tex] ? an find the solution for X1 x2 and X3?

it comes 1,0,1 then, which is not correct...

pleas help!

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# Homework Help: How to find the eigenvectors

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