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

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Matriceshard

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Let $A$ be a $3 \times 3$ matrix with $\text{tr}(A) = 3$ , $\text{tr}(A^2) = 5$ , and $\text{tr}(A^3) = 7$ . What is the determinant of $A$ ?