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向量组α1=(1,2,3,-1)^T,α2=(3,2,1,-1)^T,α3=(2,3,1,1)^T,α4=(2,2,2,-1)^T

分类: 作业答案 • 2022-08-05 19:49:46

问题描述：

向量组α1=(1,2,3,-1)^T,α2=(3,2,1,-1)^T,α3=(2,3,1,1)^T,α4=(2,2,2,-1)^T
讨论此向量组的线性相关性;
求此向量组的一个最大线性无关组;
把其余向量表示为该最大线性无关组的线性组合.

答

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向量组α1=(1,2,3,-1)^T,α2=(3,2,1,-1)^T,α3=(2,3,1,1)^T,α4=(2,2,2,-1)^T

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