An introduction to the rational canonical form
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 presents the rational canonical form for linear operators and matrices. In the analysis of linear operators on a finite-dimensional vector space, eigenvalues and eigenvectors are useful tools provided that the characteristic polynomial of the linear operator factors into a product of polynomials of degree one. On the other hand, rational canonical form can be used for the analysis of any linear operator on a finite-dimensional vector space including those whose characteristic polynomial cannot be factored out into linear polynomials. The rational canonical form can be obtained by using the structure theorems which are derived based on monic irreducible factors of the characteristic polynomial of linear operators and matrices.The researchers provide a review of definitions and concepts and theorems that are necessary for the discussion of the rational canonical form.
Abstract Format
html
Language
English
Format
Accession Number
TU06221
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
58 leaves
Keywords
Matrices; Algebras, Linear; Rational equivalence (Algebraic geometry); Linear operators; Mathematics--Formulae
Recommended Citation
Gador, C. Q., & Villarico, B. C. (1993). An introduction to the rational canonical form. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16110
