齐次线性方程组a_{1) x_(1) + a_(2) x_(2) + ... + a_(n) x_(n) = 0, b_(1) x_(1) + b_(2) x_(2) + ... + b_(n) x_(n) = 0, = m neq 0, i=1,2,...,n

齐次线性方程组$\left\{\begin{array}{l}a_{1} x_{1} + a_{2} x_{2} + \cdots + a_{n} x_{n} = 0, \\ b_{1} x_{1} + b_{2} x_{2} + \cdots + b_{n} x_{n} = 0,\end{array}\right.$的基础解系中含有$n-1$个解向量(其中$a_{i} \neq 0, b_{i} \neq 0, i=1,2,\cdots,n$)的充要条件是()

A. $a_{1} = a_{2} = \cdots = a_{n}$

B. $b_{1} = b_{2} = \cdots = b_{n}$

C. $\left|\begin{array}{cc}a_{1} & a_{2} \\ b_{1} & b_{2}\end{array}\right|=0$

D. $\frac{a_{i}}{b_{i}} = m \neq 0, i=1,2,\cdots,n$