---
tag: 032Q9FB8MT
kind: concept
name: Matrix multiplication
msc: [15A99]
sources:
  - url: https://en.wikipedia.org/wiki/Matrix_multiplication
    locator: Definitions
same_as:
  wikidata: Q1049914
  wikipedia: Matrix multiplication
---

## Summary

Matrix multiplication is the operation that takes an $m \times n$ matrix and an $n \times p$ matrix and gives an $m \times p$ matrix.
Entry $(i, k)$ of the product combines row $i$ of the first matrix with column $k$ of the second matrix.