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Help With Algebraic Extensions/Bases

  1. May 25, 2009 #1
    1. The problem statement, all variables and given/known data
    Determine the basis for {n x n matrices with rational elements}

    Determine the basis for {a+b*3.5 : a,b in Q(3.5 }

    3. The attempt at a solution

    I am not super sure about the basis for an n x n matrix. I know the dimension will be n-squared, and how the elements will look, but actually sitting and writing out what the basis is seems tricky, or I am missing something....

    On the second question, I think the basis is {1,3.5}, but I would love some confirmation...

    Ah, the joys of Memorial Day homework! At least I have until Wednesday...

    Thanks in advance!
  2. jcsd
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