14.设 (alpha )_(1)=(1,-1,2,4) (alpha )_(2)=(0,3,1,2), (alpha )_(3)=(3,0,7,14), (alpha )_(4)=(1,-1,2,0) (alpha )_(5)=(2,1,5,6)-|||-(1)证明α1,α2线性无关;-|||-(2)把α1,α2扩充成一极大线性无关组。

设向量组alpha_(1)=(1,-1,2,4),alpha_(2)=(0,3,1,2),alpha_(3)=(3,0,7,14),alpha_(4)=(1,-

向量方程((a)_(1)+alpha )-7((alpha )_(2)+alpha )+4(alpha )_(3)=0，其中((a)_(1)+alpha )-7

设(alpha )_(1)=(1,-1,2,4),(alpha )_(1)=(1,-1,2,4) ,(alpha )_(1)=(1,-1,2,4) ,(alph

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

已知(alpha )_(1)=((1,1,2,2))^T, (alpha )_(2)=((1,-1,4,0))^T (alpha )_(3)=((1,0,3,1

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

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

设矩阵 =((alpha )_(1),(alpha )_(2),(alpha )_(3),(beta )_(1))，=((alpha )_(1),(alpha

已知向量组I: (alpha )_(1)=((1,1,4))^T, (alpha )_(2)=((1,0,4))^T, _(3)=((1,2,{a)^2+3)}

【题目】-|||-设α1,a2,α3线性无关,证明: (alpha )_(1)+(alpha )_(2), (alpha )_(2)+(alpha )_(3),