Jordan Normal Form

This is a short video series about the Jordan normal form as one learns it in Linear algebra

Part 1 - Overview

This is an overview for the topic for the matrix decomposition known as the Jordan normal form.


YouTube YouTube Dark PDF


Content of the video:

00:00 Introduction
00:57 Definition “diagonalizable”
03:50 Example
05:35 Jordan blocks
07:00 Jordan boxes
11:49 Recipe


Part 2 - An Example

Let us look at an example to explain to calculation rules.


YouTube YouTube Dark PDF


Content of the video:

00:00 Introduction
00:50 Recipe
01:33 Eigenvalues
05:11 Jordan normal form - possibilities
07:12 Eigenspace calculation
09:19 Conclusion


 

Part 3 - Another Example

This is another example to show some more details in the process


YouTube YouTube Dark PDF


 

Part 4 - Transformation Matrix

This is about the transformation matrices that one needs to complete the matrix decomposition by using the Jordan normal form.


YouTube YouTube Dark PDF


 


Summary of the course Jordan Normal Form


Do you search for another mathematical topic?