判断向量组a1=(2,1,3,-1)T,a2=(3,-1,2,0)T,a3=(1,3,4,-2)T,a4=(4,-3,1,1)T的线性相关性,谢谢

问题描述:

判断向量组a1=(2,1,3,-1)T,a2=(3,-1,2,0)T,a3=(1,3,4,-2)T,a4=(4,-3,1,1)T的线性相关性,谢谢

(α1,α2,α3,α4)=2 3 1 41 -1 3 -33 2 4 1-1 0 -2 1r1+2r4,r2+r4,r3+3r40 3 -3 60 -1 1 -20 2 -2 4-1 0 -2 1r1+3r2,r3+2r20 0 0 00 -1 1 -20 0 0 0-1 0 -2 1r2*(-1),r4*(-1),交换行1 0 2 -10 1 -1 20 0 0 00 0 0 0...