设 alpha_1, alpha_2, alpha_3 是四元方程组 AX=b 的三个解向量，r(A)=3，alpha_1=(1,2,3,4)^T，alpha_2+alpha_3=(0,1,2,3)^T，k 为任意常数，则 AX=b 的通解为（）- (1,2,3,4)^T + k(1,1,1,1)^T- (1,2,3,4)^T + k(0,1,2,3)^T- (1,2,3,4)^T + k(2,3,4,5)^T- (1,2,3,4)^T + k(3,4,5,6)^T

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

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

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, alpha_5秩为 3，且满足 alpha_1 + alpha_3 - a

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, beta, gamma 均为 4 维列向量，又 A = (alpha_1, alpha_2, alp

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

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

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