- #1
ganondorf29
- 54
- 0
Homework Statement
A = [2,1,2;2,1,2;2,1,2]
Find the Eigenvectors of A
Homework Equations
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?
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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