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

I think my teacher made a mistake in his homework answer. I need to verify this for practice. The answer I got is below. The answer the teacher has is in the pdf.

2. Relevant equations

Please refer to attached pdf

3. The attempt at a solution

So there is two eigenvalues= 4 and 2

but the eigenvalue 2 has 2 eigenvectors [-1 1 0]^{T}and [0 0 1]^{T}but my teacher has only one [-1 1 0]^{T}. That's why he says A is not diagonalizable. Do you think it's correct?

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# Diagonalization eigenvalues

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