数学试题讲解

设

α_{1} = (\begin{array}{l} 0 \\ 0 \\ c_{1} \end{array}), α_{2} = (\begin{array}{l} 0 \\ 1 \\ c_{2} \end{array}), α_{3} = (\begin{matrix} 1 \\ - 1 \\ c_{3} \end{matrix}), α_{4} = (\begin{matrix} - 1 \\ 1 \\ c_{4} \end{matrix})

, 其中

c_{1}, c_{2}, c_{3}, c_{4}

为任意常数，则下列向量组线性相关的是

α_{1}, α_{2}, α_{3}

α_{1}, α_{2}, α_{4}

α_{1}, α_{3}, α_{4}

α_{2}, α_{3}, α_{4}