设向量组alpha_1, alpha_2, alpha_3, alpha_4线性无关,则()。

设向量组$\alpha_1, \alpha_2, \alpha_3, \alpha_4$线性无关,则()。

A. $\alpha_1 + \alpha_2, \alpha_2 + \alpha_3, \alpha_3 + \alpha_4, \alpha_4 - \alpha_1$,线性无关

B. $\alpha_1 + \alpha_2, \alpha_2 + \alpha_3, \alpha_3 - \alpha_4, \alpha_4 - \alpha_1$,线性无关

C. $\alpha_1 + \alpha_2, \alpha_2 + \alpha_3, \alpha_3 + \alpha_4, \alpha_4 - \alpha_1$,线性无关

D. $\alpha_1 - \alpha_2, \alpha_2 - \alpha_3, \alpha_3 - \alpha_4, \alpha_4 - \alpha_1$,线性无关

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