Linear Algebra Quiz
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EIGENVALUES & EIGENVECTORS
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Let P(x)=x3−7x2+14x−8P(x) = x^3 - 7x^2 + 14x - 8 be the characteristic polynomial of a 3×33 \times 3 matrix AA. If matrix BB is obtained by applying the same similarity transformation to AA that would make the first column of the resulting matrix equal to (100)\begin{pmatrix} 1 \\ 0 \\ 0 \end{pmatrix}, which of the following statements about the characteristic polynomial of BB is true?
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