Link to such theorems. Might be helpful.

Trace (linear algebra) From Wikipedia, the free encyclopedia

Dark Mode

2,114 views

5 votes

Consider the following two statements with respect to the matrices $\textit{A}_{m \times n}, \textit{B}_{n \times m}, \textit{C}_{n \times n}$ and $ \textit{D}_{n \times n}.$

Statement $1: tr \text{(AB)} = tr \text{(BA)}$

Statement $2: tr \text{(CD)} = tr \text{(DC)}$

where $tr()$ represents the trace of a matrix. Which one of the following holds?

- Statement $1$ is correct and Statement $2$ is wrong.
- Statement $1$ is wrong and Statement $2$ is correct.
- Both Statement $1$ and Statement $2$ are correct.
- Both Statement $1$ and Statement $2$ are wrong.

Link to such theorems. Might be helpful.

Trace (linear algebra) From Wikipedia, the free encyclopedia

0