Generating orthogonal bases of R

• Main Authors: Brines, Juliet C., Cu, Evangeline L.
• Format: text
• Language: English
• Published: Animo Repository 1993
• Subjects: Orthogonal polynomials; Mathematics > Formulae; Algebras, Linear; Linear algebras
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16117
• Institution: De La Salle University

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 th...