A. $\alpha_{1}$不能由$\alpha_{2},\alpha_{3},\alpha_{4},\beta$线性表示
B. $\beta$为零向量
C. 以上都不正确
D. $\beta$可由$\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{4}$唯一表示.
设alpha_(1),alpha_(2),alpha_(3),alpha_(4)线性无关，且alpha_(1),alpha_(2),alpha_(3),alph
【例19】(2025-2)设矩阵A=(alpha_(1),alpha_(2),alpha_(3),alpha_(4)).若alpha_(1),alpha_(2)
已知向量组alpha_(1),alpha_(2),alpha_(3)线性无关，若alpha_(1)+alpha_(2),alpha_(2)+alpha_(3),
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
7.设alpha_(1),alpha_(2),alpha_(3),beta_(1),beta_(2)均为4维列向量，矩阵A=(alpha_(1),alpha_(
4.(判断题) 向量组满足 beta_(1)=alpha_(1), beta_(2)=alpha_(1)+alpha_(2), beta_(3)=alpha_(
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
已知向量组alpha_(1),alpha_(2),alpha_(3)线性无关，证明：alpha_(1)+2alpha_(2),2alpha_(1)+3alpha