已知向量组alpha_(1),alpha_(2),alpha_(3)线性无关，若alpha_(1)+alpha_(2),alpha_(2)+alpha_(3),alpha_(3)+kalpha_(1)线性相关，则k=____. 【答案】-1.

4. 已知向量组$\alpha_{1},\alpha_{2},\alpha_{3}$线性无关，若$\alpha_{1}+\alpha_{2},\alpha_{2}+\alpha_{3},\alpha_{3}+k\alpha_{1}$线性相关，则k=____. 【答案】-1.

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