- Thread starter
- Moderator
- #1

- Jun 20, 2014

- 1,925

-----

Let $\Bbb F$ be a field. Prove that there is a unique linear functional $T : M_n(\Bbb F) \to \Bbb F$ such that

1. $T(I_n) = n$

2. $T(XY) = T(YX)$ for all $X, Y\in M_n(\Bbb F)$

What is the name for $T$?

-----

Remember to read the POTW submission guidelines to find out how to submit your answers!