Different methods of square-rooting 2 X 2 matrices
Date of Publication
1993
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
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.
Abstract Format
html
Language
English
Format
Accession Number
TU06105
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
112 leaves
Keywords
Square root; Matrices
Recommended Citation
Ebite, C. B., & Villanueva, A. S. (1993). Different methods of square-rooting 2 X 2 matrices. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16094
