Ononot — Let A be a 3 \times 3 matrix such that A^2 = A and \text{tr}

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Eigenvalues & Eigenvectorshard

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Let $A$ be a $3 \times 3$ matrix such that $A^2 = A$ and $\text{tr}(A) = 2$ . Which of the following statements about $A$ is true?