(definition)

**Definition:**
A binary operation that takes a pair of *matrices*. The number of columns in the first matrix must be equal to the number of rows in the second matrix.

**Formal Definition:** If A is an n × m matrix and B is an m × p matrix, their product AB is an n × p matrix in which AB_{ij} = Σ_{k=1}^{m} (A_{ik} × B_{kj}).

Author: VP

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Entry modified 25 March 2016.

HTML page formatted Fri Feb 23 10:06:08 2018.

Cite this as:

Vreda Pieterse, "matrix multiplication", in
*Dictionary of Algorithms and Data Structures* [online], Vreda Pieterse and Paul E. Black, eds. 25 March 2016. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/matrixMultiply.html