Ononot — Consider the companion matrix of the polynomial p(x) = x^4 -

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Determinantshard

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Consider the companion matrix of the polynomial $p(x) = x^4 - 2x^3 + 5x^2 - 3x - 7$ : $C = \begin{pmatrix} 0 & 0 & 0 & 7 \\ 1 & 0 & 0 & 3 \\ 0 & 1 & 0 & -5 \\ 0 & 0 & 1 & 2 \end{pmatrix}$ What is the determinant of $C$ ?