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Properties of Eigenvalues

  1. Oct 27, 2011 #1
    1. The problem statement, all variables and given/known data
    I solved a problem that asked me to show that the sum of the eigenvalues of A+B equals the sum of all the individual eigenvalues of A and B, and similarly for products. I just would like to know why is this so...


    2. Relevant equations



    3. The attempt at a solution

    Is it because we're combining A and B?
     
  2. jcsd
  3. Oct 27, 2011 #2
    I forgot to mention A and B are 2 by 2 matrices
     
  4. Oct 27, 2011 #3

    Mark44

    Staff: Mentor

    Since you solved this problem, then you should know why this is so.
     
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