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Math Help - Find Basis

  1. #1
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    Find Basis

    Can someone please help me out with this one?



    Find basis for the set of vectors in R^3 in the plane 2x+y-3z=0


    Thanks a lot if you can help out!
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  2. #2
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    Quote Originally Posted by jkong View Post
    Can someone please help me out with this one?



    Find basis for the set of vectors in R^3 in the plane 2x+y-3z=0


    Thanks a lot if you can help out!
    A general element of the vector subspace is (x, 3z - 2x, z). Note that (x, 3z - 2x, z) = x (1, -2, 0) + z (0, 3, 1).

    So one possible basis is ......
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