Generating orthogonal bases of R

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 a solution to the problem of constructing orthogonal bases of the vector space R3 with integer coordinates and integer lengths. Given a vector u, arbitrary integers x and y, the vectors v and w can be obtained and will form an orthogonal basis for R3 of the desired type using the definitions and theorems mentioned in this study. The researchers provide a review of definitions, theorems and corollaries that are necessary for the discussion of the orthogonal bases of R3 with integer coordinates and integer lengths.All the theorems stated in this study are lifted from the article written by Anthony Osborne and Hans Liebeck (Jan., 1989). The researchers provided complete proofs of the theorems and examples. Other theorems formulated by the researchers were also derived from the article.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU06287

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

66 leaves

Keywords

Orthogonal polynomials; Mathematics--Formulae; Algebras, Linear; Linear algebras

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