数学试题讲解

四阶行列式

| \begin{array}{cccc} a_{1} & 0 & 0 & b_{1} \\ 0 & a_{2} & b_{2} & 0 \\ 0 & b_{3} & a_{3} & 0 \\ b_{4} & 0 & 0 & a_{4} \end{array} |

的值等于

a_{1} a_{2} a_{3} a_{4} - b_{1} b_{2} b_{3} b_{4}

. B.

a_{1} a_{2} a_{3} a_{4} + b_{1} b_{2} b_{3} b_{4}

. C.

(a_{1} a_{2} - b_{1} b_{3}) (a_{3} a_{4} - b_{3} b_{4})

. D.

(a_{2} a_{3} - b_{2} b_{3}) (a_{1} a_{4} - b_{1} b_{4})