Methods in constructing symmetric and Hermitian matrices with prescribed eigenvalues and eigenvectors

• Main Authors: Arrienda, Marie Josephine N., Coseip, Rachel Bernadette M.
• Format: text
• Language: English
• Published: Animo Repository 1993
• Subjects: Symmetric functions; Matrices; Eigenvalues; Eigenvectors; Hermitian structures
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16125
• Institution: De La Salle University

This paper is based on the article Symmetric Matrices with Prescribed Eigenvalues and Eigenvectors by Konrad J. Heuvers which was published in March, 1982 in Mathematics Magazine, and on a section of the book Introduction to Vector Functions by James A. Hummel. Definitions and theorems were provided to enable the reader to understand the terms used in the paper. It provides more detailed proofs of the theorem and corollary presented in the article. Since the article deals only with theorems in constructing symmetric matrices with real entries, this paper extends some of the theorems to the construction of Hermitian matrices with complex matrices.