Matrix Trace

The trace for matrix

$$tr(\left[\begin{array}{cc}a& b\\ c& d\end{array}\right])=a+d$$

Properties

1. $tr(A^T)=tr(A)$
2. $tr(AB)=tr(BA)$
3. $tr(A+B)=tr(A)+tr(B)$

Concepts

• Proving Trace is a Linear Functional