A. 向量组$\alpha_{1},\alpha_{1}-\alpha_{2},\alpha_{1}-\alpha_{2}-\alpha_{3}$线性相关
B. 向量组$\alpha_{1},\alpha_{1}+\alpha_{2},\alpha_{1}+\alpha_{2}+\alpha_{3}$线性相关
C. 向量组$\alpha_{1}+\alpha_{2},\alpha_{2}+\alpha_{3},\alpha_{1}+\alpha_{3}$线性相关
D. 向量组$\alpha_{1}-\alpha_{2},\alpha_{2}-\alpha_{3},\alpha_{1}-\alpha_{3}$线性相关
已知向量组alpha_(1),alpha_(2),alpha_(3)线性无关，若alpha_(1)+alpha_(2),alpha_(2)+alpha_(3),
已知向量组alpha_(1),alpha_(2),alpha_(3)线性无关，证明：alpha_(1)+2alpha_(2),2alpha_(1)+3alpha
设alpha_(1),alpha_(2),alpha_(3),alpha_(4)线性无关，且alpha_(1),alpha_(2),alpha_(3),alph
设alpha_(1),alpha_(2),alpha_(3),alpha_(4)线性无关，且alpha_(1),alpha_(2),alpha_(3),alph
3.判断题设向量beta可由向量组alpha_(1),alpha_(2),alpha_(3),alpha_(4)线性表示，但不能由alpha_(1),alpha
4.判断题向量β被向量组alpha_(1),alpha_(2),...,alpha_(n)线性表示，记A=[alpha_(1),alpha_(2),...,al
【例19】(2025-2)设矩阵A=(alpha_(1),alpha_(2),alpha_(3),alpha_(4)).若alpha_(1),alpha_(2)
已知alpha_(1),alpha_(2),beta,gamma均为3维列向量，又A=(alpha_(1),alpha_(2),beta)，B=(alpha_(
(6)已知alpha_(1),alpha_(2),alpha_(3),beta,gamma均为四维列向量，又A=[alpha_(1),alpha_(2),alp
(6)已知alpha_(1),alpha_(2),alpha_(3),beta,gamma均为四维列向量，又A=[alpha_(1),alpha_(2),alp