Matrix product
= Matrix product
{title2=$AB$}
For <matrices> $A\in\mathbb F^{m\times n}$ and $B\in\mathbb F^{n\times p}$, their matrix product is the <matrix> $AB\in\mathbb F^{m\times p}$ with entries $(AB)_{ij}=\sum_{k=1}^nA_{ik}B_{kj}$. The operation producing it is <matrix multiplication>, representing composition of the corresponding <linear maps>.