:clap: math :clap: review
multiplication
For set \(\mathcal{P}\), matrix \(A\):
\begin{equation} A \mathcal{P} = \qty {Ap \mid p \in \mathcal{P}} \end{equation}
adding
For sets \(\mathcal{P}, \mathcal{Q}\):
\begin{equation} \mathcal{P} \oplus \mathcal{Q} = \qty {p+q \mid p \in \mathcal{P}, q \in \mathcal{Q}} \end{equation}