若向量组a1(a,1,0)a2(0,a,1)a3(0,0,a)线性相关,则a=
问题描述:
若向量组a1(a,1,0)a2(0,a,1)a3(0,0,a)线性相关,则a=
答
向量组线性相关,这以他们为列向量的矩阵行列式等于0
a 0 0
1 a 0
0 0 a
显然,a^3 =0,a=0