A. 向量组中增加一个向量仍线性无关
B. 向量组中减少一个向量仍线性无关
C. 向量组中任意一个向量都不能由其余向量线性表出
D. 该向量组的极大线性无关组就是它本身
已知向量组alpha_(1),alpha_(2),alpha_(3)线性无关,若alpha_(1)+alpha_(2),alpha_(2)+alpha_(3),
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
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
【例19】(2025-2)设矩阵A=(alpha_(1),alpha_(2),alpha_(3),alpha_(4)).若alpha_(1),alpha_(2)
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
已知向量组alpha_(1),alpha_(2),alpha_(3)线性无关,证明:alpha_(1)+2alpha_(2),2alpha_(1)+3alpha
已知alpha_(1),alpha_(2),beta,gamma均为3维列向量,又A=(alpha_(1),alpha_(2),beta),B=(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_(