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Eigenvalues & Eigenvectorsmedium
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Let AAA be a 3×33 \times 33×3 matrix with characteristic polynomial p(λ)=−λ3+2λ2+5λ−6p(\lambda) = -\lambda^3 + 2\lambda^2 + 5\lambda - 6p(λ)=−λ3+2λ2+5λ−6. What is the value of det⁡(A)\det(A)det(A)?