The Cauchy-Schwarz Inequality Via Matrices

Summary

We use Schur’s inequality for the Frobenius norm of a square matrix to give a novel proof of the Cauchy-Schwarz inequality.

Acknowledgment

This work was partially supported by a grant from INdAM-GNSAGA and by a grant from the “Fondo Finalizzato alla Ricerca di Ateneo” (FFR 2023 and FFR 2024) of the University of Palermo.

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Notes on contributors

Santi Spadaro

Santi Spadaro ([email protected]), Department of Engineering, University of Palermo, viale delle Scienze Ed.8, 90128, Palermo, Italy