We show how to use index notation and sum over row and column indices to perform matrix multiplication. The Einstein summation convention is introduced.

Matrix multiplication using index notation (MathsCasts)

These MathsCasts were produced by the mathematics support centres at Swinburne University, the University of Limerick and Loughborough University. They were part of a collaborative research project to develop high quality resources and investigate the effectiveness of MathsCasts to support mathematics learning. The full set of resources are available at http://commons.swin.edu.au/s/mathscasts MathsCasts are licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License

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Matrix multiplication using index notation (MathsCasts)

Matrix multiplication using index notation (MathsCasts)