Chapter 5 Polynomials and Polynomial Functions - 5.7 Apply the Fundamental Theorem of Algebra - 5.7 Exercises - Mixed Review - Page 386: 69

$-18$

$det=\begin{vmatrix} -2 & 1 & -3 \\ 7 & 0 & 2 \\-6 &2 & -4 \end{vmatrix} \begin{matrix} -2 & 1 \\ 7 & 0 \\-6 &2 \end{matrix}$ $=[(-2)(0)(-4)]+[(1)(2)(-6)+[(-3)(7)(2)]-[(-6)(0)(-3)+(2)(2)(-2)+(-4)(7)(1)]]$ $det=0-12-42-(0-8-28)$ $det=-54-(-36)=-18$