A note on matrix multiplication appearing as element concatenation or coinciding with matrix addition

Samuel B. Allan; Peter K. Dunn; Robert G. McDougall

doi:10.1080/0020739X.2022.2111613

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A note on matrix multiplication appearing as element concatenation or coinciding with matrix addition

Journal article

Peer reviewed

A note on matrix multiplication appearing as element concatenation or coinciding with matrix addition

Samuel B. Allan, Peter K. Dunn and Robert G. McDougall

International Journal of Mathematical Education in Science and Technology, Vol.55(4), pp.1045-1053

2024

DOI: https://doi.org/10.1080/0020739X.2022.2111613

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Abstract

concatenation

matrix addition

matrix multiplication

In this note we demonstrate two instances where matrix multiplication can be easily verified. In the first setting, the matrix product appears as matrix element concatenation, and in the second, the product coincides with matrix addition. General proofs for some results are provided with a more complete description for 2×2 matrices. Suggested for consolidation of the algorithm rather than as an introduction, we believe the example base that can be created, combined with an analysis for understanding the context, acts as a positive motivator to secure mastery as it needs to be practised.

Details

Title: A note on matrix multiplication appearing as element concatenation or coinciding with matrix addition
Authors: Samuel B. Allan (Author) - University of the Sunshine Coast, Queensland, School of Science, Technology and Engineering
Peter K. Dunn (Corresponding Author) - University of the Sunshine Coast, Queensland, School of Science, Technology and Engineering
Robert G. McDougall (Author) - University of the Sunshine Coast, Queensland, School of Science, Technology and Engineering
Publication details: International Journal of Mathematical Education in Science and Technology, Vol.55(4), pp.1045-1053
Publisher: Taylor & Francis
DOI: 10.1080/0020739X.2022.2111613
ISSN: 1464-5211
Organisation Unit: School of Science, Technology and Engineering; University of the Sunshine Coast, Queensland
Language: English
Record Identifier: 99666997602621
Output Type: Journal article

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