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Math Help - Help with homework: vector spaces, subspaces, subsets

  1. #1
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    Help with homework: vector spaces, subspaces, subsets

    Help with homework: vector spaces, subspaces, subsets-homework-s.jpg

    From what I've been told, it's pretty easy. I just don't have a clue what I'm doing. This is just homework - I don't want anyone to do it for me, but I need some direction with it. For example, how does (x1, y1) + (x2, y2) = (x1 + x2 + 1, y1 + y2 +1)? I can't figure out where the ones come from.
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  2. #2
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    It's just how vector addition is defined for this particular set.
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  3. #3
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    Okay. Am I wrong in thinking that, based on the information provided, V is a complex vector space? I see nothing that explicitly shows otherwise.
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  4. #4
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    Edit: Consider \alpha [(x_1,x_2)+(y_1,y_2)]
    Last edited by MattMan; October 24th 2010 at 10:11 PM.
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