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Determinantshard
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Let AAA be a 3×33 \times 33×3 matrix such that its characteristic polynomial is p(λ)=det⁡(A−λI)=−λ3+4λ2−3λ+5p(\lambda) = \det(A - \lambda I) = -\lambda^3 + 4\lambda^2 - 3\lambda + 5p(λ)=det(A−λI)=−λ3+4λ2−3λ+5. What is the value of det⁡(adj(A))\det(\text{adj}(A))det(adj(A))?