Q10

MCQ1 mark, −0.33

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?

(A)

Statement $1$ is correct and Statement $2$ is wrong.

(B)

Statement $1$ is wrong and Statement $2$ is correct.

(C)

Both Statement $1$ and Statement $2$ are correct.

(D)

Both Statement $1$ and Statement $2$ are wrong.

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