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)=(-1,1,1,0)^T.

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,-

[题目]把向量组 (alpha )_(1)=(1,0,-1,1) , (alpha )_(2)=(1,-1,0,1),-|||-(alpha )_(3)=(-1

判断题（共10题，每题2.00分）1.向量组alpha_(1)=(1,1,1,1),alpha_(2)=(1,1,1,0),alpha_(3)=(1,1,0,0

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.

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

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,

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,-

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

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)=((0,1,1))^T, (alpha )_(2)=((1,0,1))^T (alpha )_(3)=((2,1,0))^T