单选题 (共 3 题 ),每题只有一个选项正确
若 $\left|\begin{array}{ll}a_{11} & a_{12} \\ a_{21} & a_{22}\end{array} \right\rvert\,=6$ ,则 $\left|\begin{array}{ccc}a_{12} & 2 a_{11} & 0 \\ a_{22} & 2 a_{21} & 0 \\ 0 & -2 & -1\end{array}\right|$ 的值为( ).
$\text{A.}$ 12 ;
$\text{B.}$ -12 ;
$\text{C.}$ 18 ;
$\text{D.}$ 0.
设 $f(x)=\left|\begin{array}{cccc}2 x & x & 1 & 2 \\ 1 & x & 1 & -1 \\ 3 & 2 & x+2 & 1 \\ x & 1 & 0 & x\end{array}\right|$ ,那么 $f(x)$ 中 $x^4$ 和 $x^3$ 的系数分别为 () 。
$\text{A.}$ $-2,-4$
$\text{B.}$ $-2,4$
$\text{C.}$ 2,0
$\text{D.}$ 2,4
设 $D=\left|\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{array}\right|, A_{i j}$ 为 $D$ 的 $(i, j)$ 元的代数余子式,则 $A_{31}+2 A_{32}+3 A_{33}=$
$\text{A.}$ $\left|\begin{array}{ccc}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ 1 & 2 & 3\end{array}\right|$
$\text{B.}$ $\left|\begin{array}{ccc}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ 1 & -2 & 3\end{array}\right|$
$\text{C.}$ $\left|\begin{array}{lll}a_{11} & a_{12} & 1 \\ a_{21} & a_{22} & 2 \\ a_{31} & a_{32} & 3\end{array}\right|$
$\text{D.}$ $\left|\begin{array}{llc}a_{11} & a_{12} & 1 \\ a_{21} & a_{22} & -2 \\ a_{31} & a_{32} & 3\end{array}\right|$