已知: $\alpha_1, \alpha_2, \alpha_3$ 线性无关，$\beta_1 = 2\alpha_2 - \alpha_3$，
$\beta_2 = -\alpha_1 + 2\alpha_2$，$\beta_3 = \alpha_1 - \alpha_2 + 3\alpha_3$ 证明: $\beta_1, \beta_2, \beta_3$ 线性无关。
beta_1 = alpha_1, beta_2 = alpha_1 + alpha_2, beta_3 = alpha_1 + alpha_2 + alpha
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 =
已知 alpha_1, alpha_2, alpha_3, beta, gamma 均为 4 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，则A 向量组alpha_1 - alpha_2, alpha_2 - alpha_3, a
已知向量组alpha_1, alpha_2, alpha_3, ldots线性无关，则A 向量组alpha_1, alpha_1 - alpha_2, alph
设向量组 alpha_1, alpha_2, alpha_3, alpha_4，其中 alpha_1, alpha_2, alpha_3 线性无关，则必有（）A
设向量组 alpha_1, alpha_2, alpha_3, alpha_4, alpha_5秩为 3，且满足 alpha_1 + alpha_3 - a
设向量组alpha_1, alpha_2, alpha_3, alpha_4线性无关，则()。设向量组$\alpha_1, \alpha_2, \alpha_3
设 alpha_1, alpha_2, alpha_3 线性无关，则，当 k, l 满足 ()条件的时候向量组 lalpha_2 - alpha_1, malp
向量组 alpha_2, alpha_4, alpha_5 线性无关，则整体向量组 alpha_1, alpha_2, alpha_3, alpha_4, al