2005•Nanjing Linye Daxue xuebaoRequires access

The Sufficient and Essential Conditions of Orthogonal Matrix and Some Properties of O-orthogonal Matrix

Xiaoping Shi

Abstract

The right-transposed,left-transposed and full-transposed matrices were introduced in the paper and some properties of them were given.This paper also gave the definition of some concepts of O-orthogonal,R-orthogonal and L-orthogonal matrices and some necessary and sufficient conditions and some related conclusions of O-orthogonal,R-orthogonal and L-orthogonal matrices.

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Available abstract

Key concepts: Orthogonal matrix, Empirical orthogonal functions, Orthogonal array, Orthogonal basis, Orthogonal transformation, Orthogonal functions, Matrix (chemical analysis), Mathematics