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Advanced Linear Algebra lecture notes

Description 
Contents: * Table of Contents
* Linear transformations
* Polynomials
* Towards the Jordan and Rational forms
* The Jordan form
o A Simple Jordan Canonical Form Algorithm
* Jordan form examples
* Uniqueness of the Jordan form
* Exponential of a matrix
* Markov matrices
* Real Jordan form
* A real algorithm for finding the real Jordan form
* Rational canonical forms
* Smith normal form
* Applications of the Smith normal form
* Directions for further study
* Errors. 

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