The statements $\mathrm{P}$ and $\mathrm{Q}$ are related to matrices $\mathbf{A}$ and $\mathbf{B}$, which are conformable for both addition and multiplication.
$\text{P}$: $(\mathbf{A}+\mathbf{B})^{\mathrm{T}}=\mathbf{A}^{\mathrm{T}}+\mathbf{B}^{\mathrm{T}}$
$\text{Q}$: $(\mathbf{A B})^{\mathrm{T}}=\mathbf{A}^{\mathrm{T}} \mathbf{B}^{\mathrm{T}}$
Which one of the following options is CORRECT?
- $\text{P}$ is TRUE and $\text{Q}$ is FALSE
- Both $\mathrm{P}$ and $\mathrm{Q}$ are TRUE
- $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE
- Both $\mathrm{P}$ and $\mathrm{Q}$ are FALSE