设(alpha )_(1)=(1,-1,2,4),(alpha )_(1)=(1,-1,2,4) ,(alpha )_(1)=(1,-1,2,4) ,(alpha )_(1)=(1,-1,2,4) ,(1)求向量组(alpha )_(1)=(1,-1,2,4)的一组极大线性无关组;(2)求一组与向量组(alpha )_(1)=(1,-1,2,4)的极大线性无关组等价的单位正交向量组。

(本题14分)设, , , ,

(1)求向量组的一组极大线性无关组;

(2)求一组与向量组的极大线性无关组等价的单位正交向量组。

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