8./已知向量组 (alpha )_(1)=(k,2,1), (alpha )_(2)=(2,k,0), (alpha )_(3)=(1,-1,1), 问:-|||-(1)k为何值时,α1,α2,α3线性无关;(2)k为何值时,α1,α22,α3线性相关;-|||-(3)当a1,α2,α3线性相关时,把α3表示为α1,α2的线性组合。

8.若向量组α1,α2,α3线性无关, (beta )_(1)=(alpha )_(1)-(alpha )_(2), (beta )_(2)=(alpha )_

已知 (alpha )_(1)=(1,2,-3), (alpha )_(2)=(2,-1,-1),(alpha )_(1)=(1,2,-3), (alpha )

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，则t的值为（）A.

已知向量组(alpha )_(1)=(1,0,2,0), (alpha )_(2)=(0,-1,1,2), (alpha )_(3)=(1,-2,4,4)(al

设向量组 (alpha )_(1)=((0,1,1))^T, (alpha )_(2)=((1,0,1))^T (alpha )_(3)=((2,1,0))^T

当k满足____时, alpha_(1)=(1,2,1),alpha_(2)=(2,3,k),alpha_(3)=(3,k,3) 为 R^3 的一组基。A. $

设向量(alpha )_(1)=((1,1,-1))^T (alpha )_(2)=((0,2,1))^T,(alpha )_(1)=((1,1,-1))^T

2.求向量组: (alpha )_(1)=((1,1,3,1))^T (alpha )_(2)=((-1,1,-1,3))^T, (alpha )_(3)=((

8.求向量组 alpha_(1)=(1,-1,5,-1)^T, alpha_(2)=(1,1,-2,3)^T, alpha_(3)=(3,-1,8,1)^T,

设有向量组 alpha_1, alpha_2, ldots, alpha_m，若对于任意一组不全为零的实数 k_1, k_2, ldots, k_m，都有 k_