向量组a1=(2,-1,3,1),a2=(4,-2,5,4),a3=(2,-1,4,-1)的秩是

问题描述:

向量组a1=(2,-1,3,1),a2=(4,-2,5,4),a3=(2,-1,4,-1)的秩是

用初等行变换:
2 -1 3 1 2 -1 3 1 2 -1 3 1
4 -2 5 4 得:0 0 -1 2 得 0 0 0 2
2 -1 4 -1 0 0 1 0 0 0 1 0
秩=3.答案是2啊2 -1 3 12 -1 3 1 2-1 3 14 -2 5 4 得:0 0 -1 2 得:0 0 -1 22 -14 -10 01 -2 0 0 0 0秩=2.