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Finding solutions to a vector equation?!?!
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shortround

by shortround at May 21, 2010

I have the question: find all solutions (x1,x2,x3) to the vector equation x1v1 + x2v2 + x3v3 = 0 when :


a) v1 = (1,1,1), v2 = (1,0,1), v3 = (1,1,2)?
b) v1 = (1,1,-1), v2 = (1,1,-3), v3 = (-1,-1,1)?

For a) I row reduced it to x1 = 0, x2 = 0, x3 = 0, but this seemed to be a trivial solution. For b) it row reduced to x1 = x3 and x2 = 0. I am not sure if this is correct.

Could someone please help?

Thanks!!

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