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Mathematics 21 Online
OpenStudy (anonymous):

determine whether S spans V, where V= R^4 and S={(1,2,-1,0),(3,1,1,0).

OpenStudy (anonymous):

i have so far (b1,b2,b3,b4)=k1(1,2,-1,0)+k2(3,1,1,0)

OpenStudy (mathmate):

The quick answer is no, because S has only two independent vectors, which cannot space the whole of R4. We need 4 independent vectors to span R4.

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