一、在向量空间R^3中,求向量 alpha =((3,7,1))^T 在基-|||-(alpha )_(1)=((1,3,-1))^r (alpha )_(2)=((-1,3,2))^T _(3)=((3,1,0))^T,-|||-下的坐标,

2.求向量组: (alpha )_(1)=((1,1,3,1))^T (alpha )_(2)=((-1,1,-1,3))^T, (alpha )_(3)=((

设向量组 _(1)=((1,2,3,3))^T, (alpha )_(2)=((1,-1,2,1))^T (alpha )_(3)=((1,1,0,1))^T,

8.求向量组 alpha_(1)=(1,-1,5,-1)^T, alpha_(2)=(1,1,-2,3)^T, alpha_(3)=(3,-1,8,1)^T,

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

5、设有向量组 (alpha )_(1)=((1,1,2,3))^T , (alpha )_(2)=((1,-1,1,1))^T , (alpha )_(3)=

2.判断向量组alpha_(1)=(1,2,-1,3)^T, alpha_(2)=(2,1,0,-1)^T, alpha_(3)=(3,3,-1,2)^T是否线

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) 线性无关， (alpha )_(1),(alpha )_(2),(alph

已知 (alpha )_(1)=(1,2,-3), (alpha )_(2)=(2,-1,-1),(alpha )_(1)=(1,2,-3), (alpha )

设 alpha_1, alpha_2, alpha_3 是四元方程组 AX=b 的三个解向量，r(A)=3，alpha_1=(1,2,3,4)^T，alpha_