设向量组 a1 a2 a3 a4 a5 线性无关,证,a1+a2,a2+a3,a3+a4,a4+a5也线性无关.
人气：339 ℃ 时间：2020-03-26 16:47:43
解答
k1(a1+a2)+k2(a2+a3)+k3(a3+a4)+k4(a4+a5)=0k1a1+(k1+k2)a2+(k2+k3)a3+(k3+k4)a4+k4a5=0=> k1=0 (1) andk1+k2=0 (2) andk2+k3=0 (3) andk3+k4=0 (4) andk4 =0from (1) (2)k2=0from (3)k3=0ie k1=k2=k3=k4=0=> a1+a2,...
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