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Properties of Eigenvalues

  • #1

Homework Statement


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...


Homework Equations





The Attempt at a Solution



Is it because we're combining A and B?
 

Answers and Replies

  • #2
I forgot to mention A and B are 2 by 2 matrices
 
  • #3
33,275
4,983

Homework Statement


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

Homework Equations





The Attempt at a Solution



Is it because we're combining A and B?
 

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