两个 n 维列向量组 S=alpha_1, alpha_2, ..., alpha_s，T=beta_1, beta_2, ..., beta_t，其中 S 是线性相关组，T 是线性无关组，并且 T 可由 S 线性表出，则(）

设向量组 alpha_1, alpha_2, alpha_3线性无关，判断向量组 beta_1 = alpha_1 + alpha_2、beta_2 =

设 alpha_1, alpha_2 和 beta_1, beta_2, beta_3 是两个5维向量组，且两个向量组的秩相等，则()A. 向量组 $\alph

beta_1 = alpha_1, beta_2 = alpha_1 + alpha_2, beta_3 = alpha_1 + alpha_2 + alpha

已知: alpha_1, alpha_2, alpha_3 线性无关，beta_1 = 2alpha_2 - alpha_3，beta_2 = -alpha_1

已知向量组alpha_1, alpha_2, alpha_3线性无关，则A 向量组alpha_1 - alpha_2, alpha_2 - alpha_3, a

已知向量组 alpha_1 = (t, 2, 1)^T, alpha_2 = (2, t, 0)^T, alpha_3 = (1, -1, 1)^T 线性相关，

4.设α、β为三维列向量,矩阵 =alpha (alpha )^T+(beta beta )^T, 证明:-|||-(1) (A)leqslant 2-|||-

已知向量组 alpha_1, alpha_2, ..., alpha_m 线性相关，则（）A. 该向量组的秩小于 $m$；B. 该向量组的任何部分组必线性相关.

判断向量组 alpha_1 = (2,1,-1)^T, alpha_2 = (0,2,1)^T, alpha_3 = (-2,3,0)^T的线性相关性。A

设向量组 alpha_1=(6,lambda+1,4)^T, alpha_2=(lambda,2,2)^T, alpha_3=(lambda,1,0)^T 线性