A note on the span of Hadamard products of vectors

TL;DR

This paper provides a new proof of a theorem concerning the span of Hadamard products of vectors, offering potentially clearer insights or alternative approaches to the existing result.

Contribution

It introduces a novel proof for a known theorem about the span of Hadamard products, enhancing understanding or simplifying the original proof.

Findings

New proof of Theorem 6 from Qiu and Zhan's paper

Clarifies the structure of the span of Hadamard products

Potentially simplifies understanding of the theorem

Abstract

We give a new proof of Theorem 6 in [L. Qiu and X. Zhan, On the span of Hadamard products of vectors, Linear Algebra Appl. 422 (2007) 304--307].