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Property and Representation of n -Order Pythagorean Matrix

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  • Haizhou Song
  • Wang Qiufen

Abstract

Here we study the character and expression of n -order Pythagorean matrix using number theory. Theories of Pythagorean matrix are obtained. Using related algebra skills, we prove that the set which constitutes all n -order Pythagorean matrices is a finitely generated group of matrix multiplication and gives a generated tuple of this finitely generated group ( ) simultaneously.

Suggested Citation

  • Haizhou Song & Wang Qiufen, 2020. "Property and Representation of n -Order Pythagorean Matrix," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-10, March.
    • Handle: RePEc:hin:jnlmpe:2857417
    DOI: 10.1155/2020/2857417
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