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**1. Homework Statement**

Obtain the eigenvalues and corrosponding eigenvectors for the matrix: [2,2,1;1,3,1;1,2,2]

**2. Homework Equations**

**3. The Attempt at a Solution**

I can solve for the eigenvalues, 5, 1, and 1

I can solve the eigenvalue 5 for the eigenvector B[1;1;1]

Yet somehow, the 1 eigenvalues are supposed to give me two different eigenvectors. Unfortunately, this makes no sense to me, which is why i'm here...

Can someone please explain to me how to finish solving this question?