SOLUTION: The sum of all the eigenvalues of the matrix A=[(−1 0 0),(0 1 2),(1 1 2)] is

Algebra ->  Test -> SOLUTION: The sum of all the eigenvalues of the matrix A=[(−1 0 0),(0 1 2),(1 1 2)] is       Log On


   



Question 1176200: The sum of all the eigenvalues of the matrix
A=[(−1 0 0),(0 1 2),(1 1 2)] is

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

The sum of all eigenvalues of any square matrix  A  is the same as the trace of A (that is, the sum of the diagonal elements of A).



ANSWER.  The sum of the n eigenvalues of A is  -1 + 1 + 2 = 2.


See this source
https://brilliant.org/discussions/thread/product-and-sum-of-eigenvalues/


Solved, answered and explained.