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Volume 7, 2025 - Issue 2

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The related properties and application of orthogonal matrix

by Zhongzhi Yang 1
1
School of Mathematics, Yunnan Normal University, Kunming 650500, PR China
*
Author to whom correspondence should be addressed.
JGSR  2025 7(2):137; https://doi.org/10.69610/j.gsr.2025030101
Received: / Accepted: / Published Online: 1 March 2025
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Abstract

This paper mainly introduces the definition of orthogonal matrix and its nine common properties, as well as some applications of orthogonal matrix in advanced algebra: using orthogonal matrix to solve some specific problems related to orthogonal transformation in Euclidean space, transforming quadratic form into canonical form through orthogonal matrix, simplifying quadratic surface equation with orthogonal matrix, and using orthogonal matrix in matrix decomposition.

Keywords: orthogonal matrix; quadratic form; matrix decomposition.;
Copyright: © 2025 by Yang. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) (Creative Commons Attribution 4.0 International License). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

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ACS Style
Yang, Z. The related properties and application of orthogonal matrix. Journal of Globe Scientific Reports, 2025, 7, 137. doi:10.69610/j.gsr.2025030101
AMA Style
Yang Z. The related properties and application of orthogonal matrix. Journal of Globe Scientific Reports; 2025, 7(2):137. doi:10.69610/j.gsr.2025030101
Chicago/Turabian Style
Yang, Zhongzhi 2025. "The related properties and application of orthogonal matrix" Journal of Globe Scientific Reports 7, no.2:137. doi:10.69610/j.gsr.2025030101

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References

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