,(alpha )_(m)] ,=[ (alpha )_(1),(alpha )_(2),... ,(alpha )_(m)] 且 PA = B 其中只是可逆 矩阵 ) 若=[ (alpha )_(1),(alpha )_(2),... ,(alpha )_(m)] 线性相 ( 无 ) 关则 =[ (alpha )_(1),(alpha )_(2),... ,(alpha )_(m)] 线性相 ( 无 ) 关。

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

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

对于向量组alpha_1,alpha_2,ldots,alpha_m，若0alpha_1+0alpha_2+ldots+0alpha_m=0，则该向量组()。A

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

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

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

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

设向量组 alpha_1, alpha_2, alpha_3, alpha_4, alpha_5秩为 3，且满足 alpha_1 + alpha_3 - a

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

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