设有向量α1=(1,1,2,-2),α2=(1,3,-2,-4),α3=(1,-1,6,0),则向量空间V={β|βx1α1+x2α2+x3α3,xi∈R,i=1,2,3)的维数为()
A.1
B.2
C.3
正确答案是B
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