Ononot — Let A be a 3 \times 3 matrix with \det(A) = 2 and \text{tr}(

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Eigenvalues & Eigenvectorshard

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Let $A$ be a $3 \times 3$ matrix with $\det(A) = 2$ and $\text{tr}(A) = 0$ . If two eigenvalues are equal, what are all possible eigenvalues?