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Eigenvalues & Eigenvectorshard
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For a 3×33 \times 33×3 matrix AAA, if tr(A)=6\text{tr}(A) = 6tr(A)=6, tr(A2)=14\text{tr}(A^2) = 14tr(A2)=14, and det⁡(A)=6\det(A) = 6det(A)=6, what is the sum of the products of eigenvalues taken two at a time?