(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A = [2,1,2;2,1,2;2,1,2]

Find the Eigenvectors of A

2. Relevant equations

3. The attempt at a solution

First I found the eigenvalues of A

[tex]

det(A - \lambda I) = 0

[/tex]

[tex]

\lambda = 0,5

[/tex]

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A-5I

[-3,1,2;2,-4,2;2,1,-3] --(rref)--> [1,0,-1;0,1,1;0,0,0]

x1 = x3

x2 = -x3

v1 = [1;-1;1]

Is this the right eigenvector for A-5I?

_______________________________________________

A-0I

[2,1,2;2,1,2;2,1,2] --(rref)--> [1,1/2,1;0,0,0;0,0,0]

x1 + x2/2 + x3 = 0

I'm not sure what to do in order to find the eigenvector for A-0I

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# Homework Help: Linear Algebra - Eigenvectors

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