题目：设A为三阶矩阵.α11,α2,α3,为三维线性无关的列向量.又 (O)_(1)=(alpha )_(1)+4(alpha )_(2),-|||-(O)_(2)=(a)_(1)+(a)_(2) , (O)_(3)=3(alpha )_(3)设A为三阶矩阵.α11,α2,α3,为三维线性无关的列向量.又 (O)_(1)=(alpha )_(1)+4(alpha )_(2),-|||-(O)_(2)=(a)_(1)+(a)_(2) , (O)_(3)=3(alpha )_(3)

2.设三阶方阵 =[ (alpha )_(1),(alpha )_(2),(alpha )_(3)] 的行列式为 |A|=4, 若令矩阵-|||-=[ (a)

设 alpha (alpha )_(1),(alpha )_(2),(alpha )_(3),(beta )_(1),(beta )_(2) 均为四维列向量矩阵

4.设α、β为三维列向量,矩阵 =alpha (alpha )^T+(beta beta )^T, 证明:-|||-(1) (A)leqslant 2-|||-

【题目】-|||-设α1,a2,α3线性无关,证明: (alpha )_(1)+(alpha )_(2), (alpha )_(2)+(alpha )_(3),

设向量组(alpha )_(1),(alpha )_(2),(alpha )_(3) 线性无关， (alpha )_(1),(alpha )_(2),(alph

设三阶矩阵A的特征值为1,2,3,对应的特征向量分别为 (alpha )_(1)=((1,1,1))^T ,-|||-(alpha )_(2)=((1,0,1)

7.设alpha_(1),alpha_(2),alpha_(3),beta_(1),beta_(2)均为4维列向量，矩阵A=(alpha_(1),alpha_(

设三阶矩阵 =(alpha ,gamma 1,(y)_(2)), =(beta ,gamma 1,(gamma )_(2))其中 =(alpha ,gamma

若向量组(alpha )_(1),(alpha )_(2),(alpha )_(3)线性无关，则向量组(alpha )_(1),(alpha )_(2),(al

七、证明:如果向量组(alpha )_(1),(alpha )_(2),(alpha )_(3)线性无关,则向量组(alpha )_(1),(alpha )_(