判断：若四阶行列式|A|=|(alpha )_(1),(alpha )_(2),(alpha )_(3),(alpha )_(4)|=2，则行列式|A|=|(alpha )_(1),(alpha )_(2),(alpha )_(3),(alpha )_(4)|=2.|A|=|(alpha )_(1),(alpha )_(2),(alpha )_(3),(alpha )_(4)|=2|A|=|(alpha )_(1),(alpha )_(2),(alpha )_(3),(alpha )_(4)|=2对|A|=|(alpha )_(1),(alpha )_(2),(alpha )_(3),(alpha )_(4)|=2错

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

向量方程((a)_(1)+alpha )-7((alpha )_(2)+alpha )+4(alpha )_(3)=0，其中((a)_(1)+alpha )-7

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

设矩阵 =((alpha )_(1),(alpha )_(2),(alpha )_(3),(beta )_(1))，=((alpha )_(1),(alpha

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

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

已知向量组alpha_(1),alpha_(2),alpha_(3)线性无关，若alpha_(1)+alpha_(2),alpha_(2)+alpha_(3),

设向量组 alpha_1, alpha_2, alpha_3, alpha_4，其中 alpha_1, alpha_2, alpha_3 线性无关，则必有（）A

已知向量 a_1, a_2, a_3, a_4, a_5，且有 r(alpha _1, alpha _2, alpha _3, alpha _4)= 3，r(a

【例19】(2025-2)设矩阵A=(alpha_(1),alpha_(2),alpha_(3),alpha_(4)).若alpha_(1),alpha_(2)