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),...,alpha_(n)]，则Ax=β可能无解。

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) 向量组满足 beta_(1)=alpha_(1), beta_(2)=alpha_(1)+alpha_(2), beta_(3)=alpha_(

已知向量组alpha_(1),alpha_(2),alpha_(3)线性无关，若alpha_(1)+alpha_(2),alpha_(2)+alpha_(3),

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

已知alpha_(1),alpha_(2),beta,gamma均为3维列向量，又A=(alpha_(1),alpha_(2),beta)，B=(alpha_(

1.单选题已知向量组alpha_(1),alpha_(2),alpha_(3)线性无关，则A. 向量组$\alpha_{1},\alpha_{1}-\alpha

【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，证明：alpha_(1)+2alpha_(2),2alpha_(1)+3alpha

设n维向量组alpha_(1),alpha_(2),...,alpha_(m)线性无关，则以下说法错误的是A. 向量组中增加一个向量仍线性无关B. 向量组中减少