Property and Representation of n-Order Pythagorean Matrix

Abstract EN

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 (n≤10) simultaneously.