Question

向量组a1a2a3a4A=(a1a2a3)B=(a2a3a4)R(A)=2R(B)=3

Answer 1

2、R(B)=3 a2a3a4线性无关 a2a3线性无关 R(A)=2 a1a2a3 线性相关.

k1 a1+k2a2+k3a3 ＝0 k1,k2,k3不全零.k1一定不为零,否则 a2a3线性相关

a1＝﹙-k2/k1﹚a2+﹙-k3/k1﹚a3.即a1能由a2a3线性表示.