已知向量组(alpha )_(1)=(1,0,2,0), (alpha )_(2)=(0,-1,1,2), (alpha )_(3)=(1,-2,4,4)(alpha )_(1)=(1,0,2,0), (alpha )_(2)=(0,-1,1,2), (alpha )_(3)=(1,-2,4,4)(1)试求该向量组的一个极大线性无关组与秩;(2)写出每个向量用极大无关组线性表示的表达式.

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

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

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

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

14.设 (alpha )_(1)=(1,-1,2,4) (alpha )_(2)=(0,3,1,2), (alpha )_(3)=(3,0,7,14), (a

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

向量组1 0 1-|||-_(1)= 0 _(2)= 1 (alpha )_(3)= 1-|||-0 0 11 0 1-|||-_(1)= 0 _(2)= 1

已知向量组A: overrightarrow ({alpha )_(1)}=(0,1,2,3)T overrightarrow ({alpha )_(2)}=(

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