Indian Journal of Science and Technology
Year: 2024, Volume: 17, Issue: 25, Pages: 2599-2609
Original Article
Arunodhaya K Nambiar1, Amrutha K Adiyodi2, Sanil Shanker1∗
1Department of Information Technology, Kannur University, Kerala, India
2Department of Physics, Pazhassi Raja NSS College, Mattanur, Kerala, India
*Corresponding Author
Email: [email protected]
Received Date:04 April 2024, Accepted Date:03 May 2024, Published Date:18 June 2024
Objectives: The Identity Matrix is an important notion in linear algebra with various applications across computational and mathematical domains. The objective of the paper is to introduce a novel method for transposing matrices by utilizing the properties of Identity Matrix as agent. Method: In the proposed method, the input matrix performs Sum of Product (SOP) operations with the Identity Matrix gives the transpose. This involves describing specific mathematical operations that exploit the properties of the Identity Matrix to achieve matrix transpose. Findings: The results show that the Identity Matrix can be used to transpose binary, non- binary and complex matrices. The paper explores results obtained through empirical studies. The result shows that the algorithm runs in polynomial time. Novelty: The case study explores the application of the Identity Matrix for transposing the binary, non- binary and complex matrices with the support of examples and implementation. The uniqueness of the method is its competence to transpose matrix by operating the Sum of Product (SOP) structure. The method of matrix transpose by briefing Identity Matrix as the agent can be applied to develop a way of research to address artificial intelligence problems.
Keywords: Agent Based Simulation, Binary Matrix, Complex Matrix, Identity Matrix, Matrix Transpose, Sum of Product
© 2024 Nambiar et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)
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