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Math Help - Orthogonal Complement Question

  1. #1
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    Orthogonal Complement Question

    I'm studying for finals and going over past midterms. One of the questions, along with the explanation, was this:

    How are those two vectors gotten??
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  2. #2
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    Quote Originally Posted by TheMute View Post
    I'm studying for finals and going over past midterms. One of the questions, along with the explanation, was this:

    How are those two vectors gotten??
    You don't have to come up with those two exact vectors since any two vectors of those forms will do.

    Just take the rref of A and then determine the null space.
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  3. #3
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    Yea but when I do the rref of A it gets messy. Just wondering how they got such nice whole number vectors and specifically how would one come up with these 2.
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    Quote Originally Posted by TheMute View Post
    Yea but when I do the rref of A it gets messy. Just wondering how they got such nice whole number vectors and specifically how would one come up with these 2.
    You can multiple your vectors by a constant.
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