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Math Help - linear algebra question..

  1. #1
    MHF Contributor
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    linear algebra question..

    find an equation system for which these vectors is it solutions

    (1,0,1)
    (2,-1,0)
    (0,-1,-2)
    (1,1,3)

    i tried:
    i can guess (x+2y+0*z+t,0*x -y-z+t,x+0-2*z +3*t)=x(1,0,1) +y(2,-1,0) +z(0,-1,-2)+t(1,1,3)

    but what i got is a big vector
    how i get the equations?
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  2. #2
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    x+2y-z=0
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  3. #3
    MHF Contributor
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    why each part must be equal to 0
    ??
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