Different methods of square-rooting 2 X 2 matrices

• Main Authors: Ebite, Catherine B., Villanueva, Anna Lyn S.
• Format: text
• Language: English
• Published: Animo Repository 1993
• Subjects: Square root; Matrices
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16094
• Institution: De La Salle University

This thesis deals with four different methods of square-rooting 2 X 2 matrices - the exact, numerical, factorization and transformation methods. The exact method makes use of the diagonalization of matrices while the numerical method applies the extension of the Newton-Raphson method to matrices. In the Factorization method, the knowledge of prime factorization of matrices for a certain set of 2 X 2 matrices is used. Lastly, transformation method has the analogue of the De Moivre's Theorem as the main tool for square-rooting 2 X 2 matrices. Specifically, the procedure of getting the square roots of 2 X 2 matrices is discussed as well as the cases and conditions where the four methods work. Furthermore, examples are given to help illustrate the applicability of each method.