13.试用初等变换法，(1)求向量组alpha_(1)=(1,4,1,0)^T,alpha_(2)=(2,1,-1,-3)^T,alpha_(3)=(1,0,-3,-1)^T,alpha_(4)=(0,2,-6,3)^T的一个极大无关组；(2)求向量组alpha_(1),alpha_(2),alpha_(3),alpha_(4)的秩R(alpha_(1),alpha_(2),alpha_(3),alpha_(4))；(3)将(1)中其余向量用极大无关组线性表示.

设向量组alpha_(1)=(1,-1,2,4),alpha_(2)=(0,3,1,2),alpha_(3)=(3,0,7,14),alpha_(4)=(1,-

4.求向量组alpha_(1)=(1,1,2,3),alpha_(2)=(1,-1,1,1),alpha_(3)=(1,3,3,5),alpha_(4)=(4,

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,

已知向量组 alpha_(1)=(t,2,1)^T,alpha_(2)=(2,t,0)^T,alpha_(3)=(1,-1,1)^T线性相关，则t的值为（）A.

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

13.单选题若alpha_(1)=(1-1 2),alpha_(2)=(-2 1 0),alpha_(3)=(-1 0 t)线性相关,则()A. t=-2B.

4.(判断题) 向量组满足 beta_(1)=alpha_(1), beta_(2)=alpha_(1)+alpha_(2), beta_(3)=alpha_(

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

题分）用施密特正交化方法将下列向量组标准正交化alpha_(1)=(1,0,-1,1)^T,alpha_(2)=(1,-1,0,1)^T,alpha_(3)=(

8.设向量alpha_(1)=(1,0,-2)^T，alpha_(2)=(0,0,1)^T，向量beta是alpha_(1),alpha_(2)的线性组合，则下