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Eigenvalues & Eigenvectorshard
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If AAA is a 2×22 \times 22×2 matrix such that tr(A2)=10\text{tr}(A^2) = 10tr(A2)=10 and tr(A)=4\text{tr}(A) = 4tr(A)=4, what is det⁡(A)\det(A)det(A)?