Trigonometry of Two-by-Two Matrices

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 95 === In this thesis, we study the trigonometry of linear operators on 2-dimensional Hilbert spaces. If A is a normal matrix, then we have |cos|^{2}A+|sin|^{2}A=1 and cos^{2}A+sin^{2}A=1. If A is a nonnormal matrix, then we get some conclusions and we conjecture th...

Full description

Bibliographic Details
Main Authors: I-Yi Wang, 王以愔
Other Authors: Kung-Hwang Kuo
Format: Others
Language:en_US
Published: 2007
Online Access:http://ndltd.ncl.edu.tw/handle/20476491819862176409