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...
Main Authors: | , |
---|---|
Other Authors: | |
Format: | Others |
Language: | en_US |
Published: |
2007
|
Online Access: | http://ndltd.ncl.edu.tw/handle/20476491819862176409 |
Summary: | 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 that
the equality |cos|^{2}A+|sin|^{2}A=1 is hold for every
two-by-two matrices.
|
---|