Statistical Mechanics (2017) :: A Course offered by KPN Murthy at IIT Bhubaneswar.
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Based on the lectures given at CMIon thermal physics.
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This sample contains 150 sets of $3\times 3$ matrices for computing eigenvectors and eigenvalues.
Why so many sets?
The primary reason for creating so many sets was to give each students a different assignment and to give them extra sets for practice purposes.
How were these sets generated?
A large number $3\times3$ of matrices were generated starting with the Jordan canonical form with diagonal entries varied over a range of values. Then a similarity transform was applied by number of different sets of invertible matrices on each one of the matrices in Jordan form. Finally, those problems were discarded where the matrices, or the eigenvalues, or the eigenvectors had some large elements. Mathematica was used to write the $\LaTeX$ code of the matrices, their eigenvalues and eigenvectors.
One $\LaTeX$ file was generated for each matrix and stored. These were then input in a main $\LaTeX$ file which generated the final PDF file of all sets with all answers at the end.
WORK IN PROGRESS
Content Under Development
About this repository:
This page has repositories of NOTES for Lectures and Questions in Electromagnetic Theory. These are arranged according to topics in the subject. Not sorted, or arranged, in any particular order within a topic.
The primary usage of these NOTES is as building blocks for other resources.
Who may find it useful?Suitable for teachers and content developers only. Others may use the navigation links at the bottom.
TABLE OF CONTENTS
The Evaluation and Assessment resources are broadly classified into three cognitive levels.
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