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Prove a few theorems about vector spaces using the axioms

  1. Jan 27, 2008 #1
    Hey guys,

    I need to prove a few theorems about vector spaces using the axioms.

    a) Prove: if -v = v, then v = 0

    b) Prove: (-r)v = -(rv)

    c) Prove: r(-v) = -(rv)

    d) Prove: v - (-w) = v + w

    where r is a scalar and v, w are vectors.
  2. jcsd
  3. Jan 27, 2008 #2


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    really, you need to do those yourself.
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