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System under matrix addition (+) and matrix multiplication (.) is a field

  1. Mar 27, 2012 #1
    1. The problem statement, all variables and given/known data

    true or false ..
    The system {S,+,.} with S = { matrix (a,b,a-b,a)|a,b ∊ R)
    is not a field under matrix addition (+) and matrix multiplication (.)





    i find that the statement is false .
    since : 1. {S,+} is Abelian group.
    2. {S,.} : is Abelian group.

    is my finding is true ?
     
  2. jcsd
  3. Mar 28, 2012 #2
    i think you should post this in the math section
     
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