Ononot — Let A be a 2 \times 2 matrix with eigenvalues \lambda1, \lam

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Eigenvalues & Eigenvectorshard

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Let $A$ be a $2 \times 2$ matrix with eigenvalues $\lambda_1, \lambda_2$ . If $\text{tr}(A)=0$ and $\det(A)=-1$ , what are the eigenvalues?