例9 设alpha_(1),alpha_(2),alpha_(3)是四元非齐次线性方程组Ax=b的3个解向量，且秩r(A)=3.alpha_(1)=(1,2,3,4)^T,alpha_(2)+alpha_(3)=(0,1,2,3)^T,则方程组Ax=b的通解是____.

设alpha_(1),alpha_(2),alpha_(3)是四元非齐次线性方程组Ax=b的三个解向量，且A的秩R 设$\alpha_{1},\alpha_{

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

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

已知向量组alpha_(1),alpha_(2),alpha_(3)线性无关，证明：alpha_(1)+2alpha_(2),2alpha_(1)+3alpha

设alpha_(1), alpha_(2), alpha_(3)是三元非齐线性方程组Ax = b的三个互不相同的解，且R 设$\alpha_{1}, \alp

设alpha_(1),alpha_(2),alpha_(3),alpha_(4)线性无关，且alpha_(1),alpha_(2),alpha_(3),alph

设alpha_(1),alpha_(2),alpha_(3),alpha_(4)线性无关，且alpha_(1),alpha_(2),alpha_(3),alph

(6)已知alpha_(1),alpha_(2),alpha_(3),beta,gamma均为四维列向量，又A=[alpha_(1),alpha_(2),alp

(6)已知alpha_(1),alpha_(2),alpha_(3),beta,gamma均为四维列向量，又A=[alpha_(1),alpha_(2),alp

3.判断题设向量beta可由向量组alpha_(1),alpha_(2),alpha_(3),alpha_(4)线性表示，但不能由alpha_(1),alpha