Ononot — Given that the trace of a 3 \times 3 matrix A is 6, \text{tr

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Eigenvalues & Eigenvectorshard

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Given that the trace of a $3 \times 3$ matrix $A$ is $6$ , $\text{tr}(A^2) = 14$ , and $\text{tr}(A^3) = 36$ , what is the determinant of $A$ ?