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),alpha_(4)=(1,0,0,0)线性无关.（）bigcirc正确 bigcirc错误

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,-

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)=(

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,-

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

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

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.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

4.判断题向量β被向量组alpha_(1),alpha_(2),...,alpha_(n)线性表示，记A=[alpha_(1),alpha_(2),...,al

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.

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