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Math Help - basis

  1. #1
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    basis

    Let W=\{(x,y,z): x-y+2z=0\}. Find the basis of W.

    Please help me in solving it.
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  2. #2
    Super Member girdav's Avatar
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    Re: basis

    Do you know what the dimension of W is?
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  3. #3
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    Re: basis

    big hint: z = (1/2)(y - x), so any vector of the form (x,y,(y-x)/2) is in W.
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