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Linear Algebra subspaces.

  • Thread starter mtayab1994
  • Start date
  • #1
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Homework Statement



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

Answers and Replies

  • #2
6,054
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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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