The companion matrix of the monic polynomial p(x)=x3−3x2+2x−5p(x) = x^3 - 3x^2 + 2x - 5p(x)=x3−3x2+2x−5 is: C=(00510−2013)C = \begin{pmatrix} 0 & 0 & 5 \\ 1 & 0 & -2 \\ 0 & 1 & 3 \end{pmatrix}C=0100015−23
What is det(C)\det(C)det(C)?
−5-5−5
555
333
222