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Math Help - Linear Algebra Help...Subspaces?

  1. #1
    Junior Member
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    Sep 2008
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    Linear Algebra Help...Subspaces?

    Alright so I'm having a hard time trying to understand vector spaces and subspaces, however mainly subspaces is giving me a hard time. Here are 2 questions that are giving me the most difficulty..

    1) Is the set W = {f (x) Є P(F): f(x) = 0 or f(x) has degree n} a subspace of P(F) if n > (or equal) 1? Justify your answer.

    2) Prove that a subset W of a vector space V is a subspace of V if and only if 0 Є W and ax + y Є W whenever a Є F and x,y Є W

    (Sorry i'm not too sure how to use the math symbol thing)

    Appreciate the help in advance
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  2. #2
    Junior Member
    Joined
    Sep 2008
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    My attempt for the first question:


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