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Matriceshard
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Let AAA be a 3×33 \times 33×3 matrix such that AT=A−1A^T = A^{-1}AT=A−1 and det⁡(A)=−1\det(A) = -1det(A)=−1. Which of the following is true regarding the characteristic polynomial p(λ)=det⁡(A−λI)p(\lambda) = \det(A - \lambda I)p(λ)=det(A−λI)?