Welcome to my short video series on Jordan Normal Form. In this series, I will guide you through the key concepts and steps involved in understanding and working with Jordan normal forms. You can also download the PDF versions of the lessons for reference. If you have any questions, feel free to ask in the community forum. Let’s jump right in!
Part 1 - Overview
This is an overview for the topic for the matrix decomposition known as the Jordan normal form.
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.
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
Part 4 - Transformation Matrix
This is about the transformation matrices that one needs to complete the matrix decomposition by using the Jordan normal form.
Summary of the course Jordan Normal Form
-
You can download the whole PDF here and the whole dark PDF.
-
You can download the whole printable PDF here.
- Ask your questions in the community forum about Jordan Normal Form.
Ad-free version available:
Click to watch the series on Vimeo.