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Linear Algebra subspaces.

  1. Mar 28, 2013 #1
    1. The problem statement, all variables and given/known data

    Find all subspaces of the vector spaces: (ℝ+,.) , (ℝ^2 +,.) , (ℝ^3 +,.)

    3. The attempt at a solution

    For ℝ the only subspace i can think of is {0}

    For ℝ^2 if found {0} R^2 itself and any set of the form L=cu for u≠0.

    For ℝ^3 if found those of R^2 plus R^3 . Are they correct?
     
  2. jcsd
  3. Mar 28, 2013 #2
    For the second case, you found that L = cu, where c is some given constant, including 0, defines a subspace. Find a similar equation for the next case, and think how you can generalize that.
     
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