Term Paper on Unitary Matrix

TOPIC:Prove that the product of the two unitary matrices (of the same size) and the inverse of a unitary matrix are unitary. Give examples. Powers of unitary matrices occurring in applications may sometimes be familiar real matrices.

SUMITTED TO:-                                                                                                     SUBMITTED BY:-

Amarpreet Singh                                                                                                                         Mridul Mudai
                                                                                                                                                B.Tech(ME)
Roll No-RB4004B64
Regd. No-11010983

Acknowledgement:

This project is a welcome and challenging experience for us as it took a great deal of hard work and dedication for its successful completion. It’s my pleasure to take this opportunity to thank all those who helped   me directly or indirectly in preparation of this report.

      I would also like to very sincerely thank to my project guide Lecturer Mr. Amarpreet Singh who supported me technically as well as morally in every stage of the project and also gave his very valuable suggestions to me which helped me to complete my project. Without his guidance and support, this project would not have seen light of the day.

    It gives me immense in expressing a deep sense of gratitude and sincere thanks to Lovely Professional University.

    Last but not the least I thank my family for their boost and support in every sphere. Their vital push infused a sense of insurgency in me.

                                                                                            Mridul Mudai

Table Of Contents:

(Introduction

(Properties Of Unitary Matrices

(Proof Showing that the product of the two unitary matrices (of the same size) and the inverse of a unitary matrix are unitary

(Examples

( Powers of unitary matrices occurring... [continues]

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