SOLUTION: Consider the function T : Mnn → Mnn given by T (A) = tr(A) Is T a linear operator? You must justify your answer.

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Question 1170159: Consider the function T : Mnn → Mnn given by T (A) = tr(A)
Is T a linear operator? You must justify your answer.
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

For your info: 


     The function  T(A) = tr(A)  is not a function  from  Mnn  to  Mnn.

     It is the function  from  Mnn  to  R  (to real numbers, or to the base coefficients field, in general).


     Learn basics of your science.