INTRODUCTION TO MATRIX ALGEBRA

Transforming Matrix Algebra for the STEM Undergraduate

 

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EIGENVALUES AND EIGENVECTORS

CHAPTER 10

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Eigenvalues and Eigenvectors [PDF] [DOC]

Objectives of Eigenvalues and Eigenvectors [PDF] [DOC]

TEXTBOOK CHAPTER

 

Textbook Chapter of Eigenvalues and Eigenvectors [PDF] [DOC]

DIGITAL AUDIOVISUAL LECTURES

 

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]

 

PRESENTATIONS

 

Power Point Presentation on Eigenvalues and Eigenvectors [PDF] [PPT]

MULTIPLE CHOICE TEST

 

Test Your Knowledge of Eigenvalues and Eigenvectors [FLASH] [PDF] [DOC] [SOLUTION]

PROBLEM SET
  Problem set for Eigenvalues and Eigenvectors [PDF]  [DOC]

RELATED TOPICS

 

Introduction

Vectors

Binary Operations

Unary Operations

System of Equations

Gaussian Elimination

Gauss-Seidel Method

LU Decomposition

Adequacy of Solutions

Eigenvalues and Eigenvectors


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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.