数学试题讲解

设向量组

α_{1}, α_{2}, α_{3}

线性无关，则下列向量组线性相关的是

α_{1} - α_{2}, α_{2} - α_{3}, α_{3} - α_{1}

α_{1} + α_{2}, α_{2} + α_{3}, α_{3} + α_{1}

α_{1} - 2 α_{2}, α_{2} - 2 α_{3}, α_{3} - 2 α_{1}

α_{1} + 2 α_{2}, α_{2} + 2 α_{3}, α_{3} + 2 α_{1}