4.设向量组beta_(1)=alpha_(1)+2alpha_(2)-alpha_(3),beta_(2)=alpha_(1)+2alpha_(2)+2alpha_(3),beta_(3)=alpha_(1)+alpha_(2)+2alpha_(3),且向量组alpha_(1),alpha_(2),alpha_(3)线性无关，证明向量组beta_(1),beta_(2),beta_(3)也线性无关.

4.设向量组$\beta_{1}=\alpha_{1}+2\alpha_{2}-\alpha_{3}$,$\beta_{2}=\alpha_{1}+2\alpha_{2}+2\alpha_{3}$,$\beta_{3}=\alpha_{1}+\alpha_{2}+2\alpha_{3}$,且向量组$\alpha_{1},\alpha_{2},\alpha_{3}$线性无关，证明向量组$\beta_{1},\beta_{2},\beta_{3}$也线性无关.

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