The sum of all the eigenvalues of a matrix is equal to the trace of the matrix. And since the matrix is real, the trace should also be a real value. Which further implies that the sum of all the eigenvalues should be a real number. So, add all the three eigenvalues and check which option is giving the sum a real number. So, checking all the options, you get that no option can be correct answer. However, if you do option b as (1, -i) then it can be the correct answer.

Hope this helps.