matrix multiplication

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