INTRODUCTION TO MATRIX ALGEBRA

Transforming Matrix Algebra for the STEM Undergraduate

 

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EIGENVALUES AND EIGENVECTORS (CHAPTER 10)

 

Theorems of eigenvalues and eigenvectors: Part 4 of 6

 

By Autar Kaw



TOPIC DESCRIPTION
 

Learn some theorems of eigenvalues and eigenvectors.

 

This video teaches you some theorems of eigenvalues and eigenvectors.


ALL VIDEOS FOR THIS TOPIC
 

What is the origin of the word eigenvalue [YOUTUBE 1:02] [TRANSCRIPT]
 

A physical example of application of eigenvalues and eigenvectors  [YOUTUBE 16:23] [TRANSCRIPT]

 

Definition of eigenvalues and eigenvectors  [YOUTUBE 3:11] [TRANSCRIPT]

 

How do I find eigenvalues of a square matrix  [YOUTUBE 4:33][TRANSCRIPT]

How do I find eigenvalues of a square matrix? Example [YOUTUBE 3:46][TRANSCRIPT]

How do I find eigenvectors of a square matrix? Example [YOUTUBE 6:33][TRANSCRIPT]

How do I find eigenvectors of a square matrix? Example 2 [YOUTUBE 13:10] [TRANSCRIPT]

 

Theorems of eigenvalues and eigenvectors Part 1 of 6 [YOUTUBE 2:19] [TRANSCRIPT]

Theorems of eigenvalues and eigenvectors Part 2 of 6  [YOUTUBE 2:06][TRANSCRIPT]

Theorems of eigenvalues and eigenvectors Part 3 of 6 [YOUTUBE 2:43] [TRANSCRIPT]
Theorems of eigenvalues and eigenvectors Part 4 of 6  [YOUTUBE 0:53] [TRANSCRIPT]

Theorems of eigenvalues and eigenvectors Part 5 of 6 [YOUTUBE 1:37] [TRANSCRIPT]

Theorems of eigenvalues and eigenvectors Part 6 of 6  [YOUTUBE 3:15] [TRANSCRIPT]

 

How does one find eigenvalues and eigenvectors numerically  [YOUTUBE 4:57] [TRANSCRIPT]

How does one find eigenvalues and eigenvectors numerically Example  [YOUTUBE 8:09][TRANSCRIPT]


COMPLETE RESOURCES
  Get in one place the following: a textbook chapter, a PowerPoint presentation, individual YouTube lecture videos, multiple-choice questions, and problem sets on Eigenvalues and Eigenvectors.

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Questions, suggestions or comments, contact kaw@usf.edu 

This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624,  0836981, 0836916, 0836805, 1322586.  Any opinions, findings, and conclusions orCreative Commons License recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Based on a work at http://mathforcollege.com/ma.  Introduction to Matrix Algebra is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.