On the inverse of the Hadamard product of a full rank matrix and an angle matrix

TL;DR

This paper investigates the inverse of the Hadamard product of a full rank matrix and an angle matrix, enriching the algebraic understanding of Hadamard products through standard matrix analysis.

Contribution

It provides new insights into the inverse properties of Hadamard products involving angle matrices, expanding the algebraic framework.

Findings

Derived the inverse formula for the Hadamard product of a full rank and an angle matrix.

Enhanced the algebraic understanding of Hadamard products.

Utilized standard matrix analysis techniques.

Abstract

By the definition of an angle matrix, we investigate the inverse of the Hadamard product of a full rank and an angle matrices. Our proof involves standard matrix analysis. It enriches the algebra of Hadamard products.