On Eigenvalues of matrices of low rank

• Main Authors: Acierto, Jennifer Elaine Ruiz, Ramirez, Mary Joyce Valero
• Format: text
• Language: English
• Published: Animo Repository 2002
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/17222
• Institution: De La Salle University

This study is based on the article "Eigenvalues of Matrices of Low Rank" by Richard Katz and Stewart Venit, which was published on May 2000 in The College Mathematics Journal, and on the first section of the article "Computing Eigenvalues and Eigenvectors without Determinants" by William McWorter, Jr. and Leroy Meyers, which was published on February 1998 in the Mathematics Magazine. It focuses on finding eigenvalues of a matrix with rank less than 4 in three methods. The first method is by getting the zeros of the characteristic polynomial, which was discussed in linear algebra class. The second method uses seeds, which were presented in the article of McWorter and Meyers. And the third method uses the K-rowed principal minors of a matrix, which was presented in the article of Katz and Venit. It provides detailed proofs of the theorems and corollary presented in the article. It also provides examples on finding the eigenvalues of a matrix using the three methods.